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Finding the Fourth Proportional to 261,539.66, 392,703.16 and 149,346.56

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Solution

The fourth proportional to 261,539.66, 392,703.16 and 149,346.56 is: 224,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,539.66 : 392,703.16 = 149,346.56 : x
  2. Step 2: Convert to fraction form
    261,539.66/392,703.16 = 149,346.56/x
  3. Step 3: Cross multiply
    261,539.66x = 392,703.16 × 149,346.56
  4. Step 4: Simplify right side
    261,539.66x = 58,648,866,047.13
  5. Step 5: Solve for x
    x = 58,648,866,047.13/261,539.66
  6. Step 6: Final answer
    x = 224,244.64

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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.