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Finding the Fourth Proportional to 103,083.38, 142,341.76 and 77,545.48

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Solution

The fourth proportional to 103,083.38, 142,341.76 and 77,545.48 is: 107,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.38 : 142,341.76 = 77,545.48 : x
  2. Step 2: Convert to fraction form
    103,083.38/142,341.76 = 77,545.48/x
  3. Step 3: Cross multiply
    103,083.38x = 142,341.76 × 77,545.48
  4. Step 4: Simplify right side
    103,083.38x = 11,037,960,103.24
  5. Step 5: Solve for x
    x = 11,037,960,103.24/103,083.38
  6. Step 6: Final answer
    x = 107,077.98

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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.