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Finding the Fourth Proportional to 189,865.71, 284,798.82 and 77,545.92

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Solution

The fourth proportional to 189,865.71, 284,798.82 and 77,545.92 is: 116,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,865.71 : 284,798.82 = 77,545.92 : x
  2. Step 2: Convert to fraction form
    189,865.71/284,798.82 = 77,545.92/x
  3. Step 3: Cross multiply
    189,865.71x = 284,798.82 × 77,545.92
  4. Step 4: Simplify right side
    189,865.71x = 22,084,986,511.81
  5. Step 5: Solve for x
    x = 22,084,986,511.81/189,865.71
  6. Step 6: Final answer
    x = 116,318.98

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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.