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Finding the Fourth Proportional to 118,222.70, 177,042.45 and 78,565.10

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Solution

The fourth proportional to 118,222.70, 177,042.45 and 78,565.10 is: 117,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,222.70 : 177,042.45 = 78,565.10 : x
  2. Step 2: Convert to fraction form
    118,222.70/177,042.45 = 78,565.10/x
  3. Step 3: Cross multiply
    118,222.70x = 177,042.45 × 78,565.10
  4. Step 4: Simplify right side
    118,222.70x = 13,909,357,788.50
  5. Step 5: Solve for x
    x = 13,909,357,788.50/118,222.70
  6. Step 6: Final answer
    x = 117,653.87

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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.