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Finding the Fourth Proportional to 219,915.72, 329,879.70 and 77,740.89

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Solution

The fourth proportional to 219,915.72, 329,879.70 and 77,740.89 is: 116,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,915.72 : 329,879.70 = 77,740.89 : x
  2. Step 2: Convert to fraction form
    219,915.72/329,879.70 = 77,740.89/x
  3. Step 3: Cross multiply
    219,915.72x = 329,879.70 × 77,740.89
  4. Step 4: Simplify right side
    219,915.72x = 25,645,141,470.93
  5. Step 5: Solve for x
    x = 25,645,141,470.93/219,915.72
  6. Step 6: Final answer
    x = 116,613.50

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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.