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Finding the Fourth Proportional to 138,240.60, 190,778.28 and 77,832

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Solution

The fourth proportional to 138,240.60, 190,778.28 and 77,832 is: 107,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,240.60 : 190,778.28 = 77,832 : x
  2. Step 2: Convert to fraction form
    138,240.60/190,778.28 = 77,832/x
  3. Step 3: Cross multiply
    138,240.60x = 190,778.28 × 77,832
  4. Step 4: Simplify right side
    138,240.60x = 14,848,655,088.96
  5. Step 5: Solve for x
    x = 14,848,655,088.96/138,240.60
  6. Step 6: Final answer
    x = 107,411.68

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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.