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Finding the Fourth Proportional to 261,471.74, 392,373.50 and 111,713.16

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Solution

The fourth proportional to 261,471.74, 392,373.50 and 111,713.16 is: 167,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,471.74 : 392,373.50 = 111,713.16 : x
  2. Step 2: Convert to fraction form
    261,471.74/392,373.50 = 111,713.16/x
  3. Step 3: Cross multiply
    261,471.74x = 392,373.50 × 111,713.16
  4. Step 4: Simplify right side
    261,471.74x = 43,833,284,917.02
  5. Step 5: Solve for x
    x = 43,833,284,917.02/261,471.74
  6. Step 6: Final answer
    x = 167,640.62

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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.