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Finding the Fourth Proportional to 78,215.60, 107,938.12 and 42,406.16

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Solution

The fourth proportional to 78,215.60, 107,938.12 and 42,406.16 is: 58,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.60 : 107,938.12 = 42,406.16 : x
  2. Step 2: Convert to fraction form
    78,215.60/107,938.12 = 42,406.16/x
  3. Step 3: Cross multiply
    78,215.60x = 107,938.12 × 42,406.16
  4. Step 4: Simplify right side
    78,215.60x = 4,577,241,186.82
  5. Step 5: Solve for x
    x = 4,577,241,186.82/78,215.60
  6. Step 6: Final answer
    x = 58,520.82

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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.