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Finding the Fourth Proportional to 99,292.38, 137,089.47 and 76,281.22

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Solution

The fourth proportional to 99,292.38, 137,089.47 and 76,281.22 is: 105,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292.38 : 137,089.47 = 76,281.22 : x
  2. Step 2: Convert to fraction form
    99,292.38/137,089.47 = 76,281.22/x
  3. Step 3: Cross multiply
    99,292.38x = 137,089.47 × 76,281.22
  4. Step 4: Simplify right side
    99,292.38x = 10,457,350,953.90
  5. Step 5: Solve for x
    x = 10,457,350,953.90/99,292.38
  6. Step 6: Final answer
    x = 105,318.77

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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.