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Finding the Fourth Proportional to 102,858.43, 141,957.78 and 57,538.93

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Solution

The fourth proportional to 102,858.43, 141,957.78 and 57,538.93 is: 79,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858.43 : 141,957.78 = 57,538.93 : x
  2. Step 2: Convert to fraction form
    102,858.43/141,957.78 = 57,538.93/x
  3. Step 3: Cross multiply
    102,858.43x = 141,957.78 × 57,538.93
  4. Step 4: Simplify right side
    102,858.43x = 8,168,098,766.38
  5. Step 5: Solve for x
    x = 8,168,098,766.38/102,858.43
  6. Step 6: Final answer
    x = 79,411.08

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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.