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Finding the Fourth Proportional to 160,419.90, 240,629.85 and 146,423.10

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Solution

The fourth proportional to 160,419.90, 240,629.85 and 146,423.10 is: 219,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,419.90 : 240,629.85 = 146,423.10 : x
  2. Step 2: Convert to fraction form
    160,419.90/240,629.85 = 146,423.10/x
  3. Step 3: Cross multiply
    160,419.90x = 240,629.85 × 146,423.10
  4. Step 4: Simplify right side
    160,419.90x = 35,233,768,589.54
  5. Step 5: Solve for x
    x = 35,233,768,589.54/160,419.90
  6. Step 6: Final answer
    x = 219,634.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.