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Finding the Fourth Proportional to 103,807.80, 155,711.70 and 51,319.80

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Solution

The fourth proportional to 103,807.80, 155,711.70 and 51,319.80 is: 76,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,807.80 : 155,711.70 = 51,319.80 : x
  2. Step 2: Convert to fraction form
    103,807.80/155,711.70 = 51,319.80/x
  3. Step 3: Cross multiply
    103,807.80x = 155,711.70 × 51,319.80
  4. Step 4: Simplify right side
    103,807.80x = 7,991,093,301.66
  5. Step 5: Solve for x
    x = 7,991,093,301.66/103,807.80
  6. Step 6: Final answer
    x = 76,979.70

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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.