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Finding the Fourth Proportional to 78,189.17, 107,898.14 and 42,378.39

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Solution

The fourth proportional to 78,189.17, 107,898.14 and 42,378.39 is: 58,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.17 : 107,898.14 = 42,378.39 : x
  2. Step 2: Convert to fraction form
    78,189.17/107,898.14 = 42,378.39/x
  3. Step 3: Cross multiply
    78,189.17x = 107,898.14 × 42,378.39
  4. Step 4: Simplify right side
    78,189.17x = 4,572,549,563.14
  5. Step 5: Solve for x
    x = 4,572,549,563.14/78,189.17
  6. Step 6: Final answer
    x = 58,480.60

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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.