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Finding the Fourth Proportional to 90,134.30, 135,201.45 and 78,470.30

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Solution

The fourth proportional to 90,134.30, 135,201.45 and 78,470.30 is: 117,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,134.30 : 135,201.45 = 78,470.30 : x
  2. Step 2: Convert to fraction form
    90,134.30/135,201.45 = 78,470.30/x
  3. Step 3: Cross multiply
    90,134.30x = 135,201.45 × 78,470.30
  4. Step 4: Simplify right side
    90,134.30x = 10,609,298,341.94
  5. Step 5: Solve for x
    x = 10,609,298,341.94/90,134.30
  6. Step 6: Final answer
    x = 117,705.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.