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Finding the Fourth Proportional to 146,192.88, 201,711.96 and 85,760.40

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Solution

The fourth proportional to 146,192.88, 201,711.96 and 85,760.40 is: 118,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,192.88 : 201,711.96 = 85,760.40 : x
  2. Step 2: Convert to fraction form
    146,192.88/201,711.96 = 85,760.40/x
  3. Step 3: Cross multiply
    146,192.88x = 201,711.96 × 85,760.40
  4. Step 4: Simplify right side
    146,192.88x = 17,298,898,374.38
  5. Step 5: Solve for x
    x = 17,298,898,374.38/146,192.88
  6. Step 6: Final answer
    x = 118,329.28

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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.