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Finding the Fourth Proportional to 96,395.61, 144,341.91 and 77,572.83

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Solution

The fourth proportional to 96,395.61, 144,341.91 and 77,572.83 is: 116,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395.61 : 144,341.91 = 77,572.83 : x
  2. Step 2: Convert to fraction form
    96,395.61/144,341.91 = 77,572.83/x
  3. Step 3: Cross multiply
    96,395.61x = 144,341.91 × 77,572.83
  4. Step 4: Simplify right side
    96,395.61x = 11,197,010,446.31
  5. Step 5: Solve for x
    x = 11,197,010,446.31/96,395.61
  6. Step 6: Final answer
    x = 116,156.85

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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.