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Finding the Fourth Proportional to 189,867.71, 284,801.82 and 77,547.92

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Solution

The fourth proportional to 189,867.71, 284,801.82 and 77,547.92 is: 116,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,867.71 : 284,801.82 = 77,547.92 : x
  2. Step 2: Convert to fraction form
    189,867.71/284,801.82 = 77,547.92/x
  3. Step 3: Cross multiply
    189,867.71x = 284,801.82 × 77,547.92
  4. Step 4: Simplify right side
    189,867.71x = 22,085,788,753.21
  5. Step 5: Solve for x
    x = 22,085,788,753.21/189,867.71
  6. Step 6: Final answer
    x = 116,321.98

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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.