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Finding the Fourth Proportional to 259,281.50, 357,808.47 and 146,108.30

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Solution

The fourth proportional to 259,281.50, 357,808.47 and 146,108.30 is: 201,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281.50 : 357,808.47 = 146,108.30 : x
  2. Step 2: Convert to fraction form
    259,281.50/357,808.47 = 146,108.30/x
  3. Step 3: Cross multiply
    259,281.50x = 357,808.47 × 146,108.30
  4. Step 4: Simplify right side
    259,281.50x = 52,278,787,277.30
  5. Step 5: Solve for x
    x = 52,278,787,277.30/259,281.50
  6. Step 6: Final answer
    x = 201,629.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.