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Finding the Fourth Proportional to 107,092.50, 147,798.88 and 61,780.70

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Solution

The fourth proportional to 107,092.50, 147,798.88 and 61,780.70 is: 85,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.50 : 147,798.88 = 61,780.70 : x
  2. Step 2: Convert to fraction form
    107,092.50/147,798.88 = 61,780.70/x
  3. Step 3: Cross multiply
    107,092.50x = 147,798.88 × 61,780.70
  4. Step 4: Simplify right side
    107,092.50x = 9,131,118,265.62
  5. Step 5: Solve for x
    x = 9,131,118,265.62/107,092.50
  6. Step 6: Final answer
    x = 85,263.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.