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Finding the Fourth Proportional to 252,411.02, 378,404.21 and 117,406.50

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Solution

The fourth proportional to 252,411.02, 378,404.21 and 117,406.50 is: 176,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,411.02 : 378,404.21 = 117,406.50 : x
  2. Step 2: Convert to fraction form
    252,411.02/378,404.21 = 117,406.50/x
  3. Step 3: Cross multiply
    252,411.02x = 378,404.21 × 117,406.50
  4. Step 4: Simplify right side
    252,411.02x = 44,427,113,294.33
  5. Step 5: Solve for x
    x = 44,427,113,294.33/252,411.02
  6. Step 6: Final answer
    x = 176,010.99

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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.