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Finding the Fourth Proportional to 141,439.77, 195,188.27 and 77,778

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Solution

The fourth proportional to 141,439.77, 195,188.27 and 77,778 is: 107,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,439.77 : 195,188.27 = 77,778 : x
  2. Step 2: Convert to fraction form
    141,439.77/195,188.27 = 77,778/x
  3. Step 3: Cross multiply
    141,439.77x = 195,188.27 × 77,778
  4. Step 4: Simplify right side
    141,439.77x = 15,181,352,875.17
  5. Step 5: Solve for x
    x = 15,181,352,875.17/141,439.77
  6. Step 6: Final answer
    x = 107,334.40

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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.