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Finding the Fourth Proportional to 102,432.60, 153,648.90 and 100,464.30

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Solution

The fourth proportional to 102,432.60, 153,648.90 and 100,464.30 is: 150,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432.60 : 153,648.90 = 100,464.30 : x
  2. Step 2: Convert to fraction form
    102,432.60/153,648.90 = 100,464.30/x
  3. Step 3: Cross multiply
    102,432.60x = 153,648.90 × 100,464.30
  4. Step 4: Simplify right side
    102,432.60x = 15,436,229,184.27
  5. Step 5: Solve for x
    x = 15,436,229,184.27/102,432.60
  6. Step 6: Final answer
    x = 150,696.45

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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.