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Finding the Fourth Proportional to 78,118.67, 107,803.73 and 42,308.68

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Solution

The fourth proportional to 78,118.67, 107,803.73 and 42,308.68 is: 58,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118.67 : 107,803.73 = 42,308.68 : x
  2. Step 2: Convert to fraction form
    78,118.67/107,803.73 = 42,308.68/x
  3. Step 3: Cross multiply
    78,118.67x = 107,803.73 × 42,308.68
  4. Step 4: Simplify right side
    78,118.67x = 4,561,033,515.38
  5. Step 5: Solve for x
    x = 4,561,033,515.38/78,118.67
  6. Step 6: Final answer
    x = 58,385.96

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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.