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Finding the Fourth Proportional to 102,408.60, 153,612.90 and 97,815.90

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Solution

The fourth proportional to 102,408.60, 153,612.90 and 97,815.90 is: 146,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.60 : 153,612.90 = 97,815.90 : x
  2. Step 2: Convert to fraction form
    102,408.60/153,612.90 = 97,815.90/x
  3. Step 3: Cross multiply
    102,408.60x = 153,612.90 × 97,815.90
  4. Step 4: Simplify right side
    102,408.60x = 15,025,784,065.11
  5. Step 5: Solve for x
    x = 15,025,784,065.11/102,408.60
  6. Step 6: Final answer
    x = 146,723.85

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Why These Related Problems?

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