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Finding the Fourth Proportional to 107,536.18, 148,385.84 and 59,780

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Solution

The fourth proportional to 107,536.18, 148,385.84 and 59,780 is: 82,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536.18 : 148,385.84 = 59,780 : x
  2. Step 2: Convert to fraction form
    107,536.18/148,385.84 = 59,780/x
  3. Step 3: Cross multiply
    107,536.18x = 148,385.84 × 59,780
  4. Step 4: Simplify right side
    107,536.18x = 8,870,505,515.20
  5. Step 5: Solve for x
    x = 8,870,505,515.20/107,536.18
  6. Step 6: Final answer
    x = 82,488.57

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