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Finding the Fourth Proportional to 261,983.52, 392,646.42 and 112,047.48

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Solution

The fourth proportional to 261,983.52, 392,646.42 and 112,047.48 is: 167,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,983.52 : 392,646.42 = 112,047.48 : x
  2. Step 2: Convert to fraction form
    261,983.52/392,646.42 = 112,047.48/x
  3. Step 3: Cross multiply
    261,983.52x = 392,646.42 × 112,047.48
  4. Step 4: Simplify right side
    261,983.52x = 43,995,041,892.02
  5. Step 5: Solve for x
    x = 43,995,041,892.02/261,983.52
  6. Step 6: Final answer
    x = 167,930.57

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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.