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Finding the Fourth Proportional to 103,782, 155,665.72 and 59,269.28

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Solution

The fourth proportional to 103,782, 155,665.72 and 59,269.28 is: 88,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782 : 155,665.72 = 59,269.28 : x
  2. Step 2: Convert to fraction form
    103,782/155,665.72 = 59,269.28/x
  3. Step 3: Cross multiply
    103,782x = 155,665.72 × 59,269.28
  4. Step 4: Simplify right side
    103,782x = 9,226,195,145.08
  5. Step 5: Solve for x
    x = 9,226,195,145.08/103,782
  6. Step 6: Final answer
    x = 88,899.76

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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.