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Finding the Fourth Proportional to 102,280.52, 153,441.74 and 43,116.30

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Solution

The fourth proportional to 102,280.52, 153,441.74 and 43,116.30 is: 64,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,280.52 : 153,441.74 = 43,116.30 : x
  2. Step 2: Convert to fraction form
    102,280.52/153,441.74 = 43,116.30/x
  3. Step 3: Cross multiply
    102,280.52x = 153,441.74 × 43,116.30
  4. Step 4: Simplify right side
    102,280.52x = 6,615,840,202.15
  5. Step 5: Solve for x
    x = 6,615,840,202.15/102,280.52
  6. Step 6: Final answer
    x = 64,683.29

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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.