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Finding the Fourth Proportional to 176,449.54, 264,646.49 and 146,655.11

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Solution

The fourth proportional to 176,449.54, 264,646.49 and 146,655.11 is: 219,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,449.54 : 264,646.49 = 146,655.11 : x
  2. Step 2: Convert to fraction form
    176,449.54/264,646.49 = 146,655.11/x
  3. Step 3: Cross multiply
    176,449.54x = 264,646.49 × 146,655.11
  4. Step 4: Simplify right side
    176,449.54x = 38,811,759,366.70
  5. Step 5: Solve for x
    x = 38,811,759,366.70/176,449.54
  6. Step 6: Final answer
    x = 219,959.54

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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.