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Finding the Fourth Proportional to 252,025.40, 378,038.10 and 102,337.40

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Solution

The fourth proportional to 252,025.40, 378,038.10 and 102,337.40 is: 153,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,025.40 : 378,038.10 = 102,337.40 : x
  2. Step 2: Convert to fraction form
    252,025.40/378,038.10 = 102,337.40/x
  3. Step 3: Cross multiply
    252,025.40x = 378,038.10 × 102,337.40
  4. Step 4: Simplify right side
    252,025.40x = 38,687,436,254.94
  5. Step 5: Solve for x
    x = 38,687,436,254.94/252,025.40
  6. Step 6: Final answer
    x = 153,506.10

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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.