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Finding the Fourth Proportional to 124,624.73, 186,980.83 and 77,822.93

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Solution

The fourth proportional to 124,624.73, 186,980.83 and 77,822.93 is: 116,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,624.73 : 186,980.83 = 77,822.93 : x
  2. Step 2: Convert to fraction form
    124,624.73/186,980.83 = 77,822.93/x
  3. Step 3: Cross multiply
    124,624.73x = 186,980.83 × 77,822.93
  4. Step 4: Simplify right side
    124,624.73x = 14,551,396,044.43
  5. Step 5: Solve for x
    x = 14,551,396,044.43/124,624.73
  6. Step 6: Final answer
    x = 116,761.71

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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.