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Finding the Fourth Proportional to 202,598.50, 279,585.94 and 113,174.50

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Solution

The fourth proportional to 202,598.50, 279,585.94 and 113,174.50 is: 156,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598.50 : 279,585.94 = 113,174.50 : x
  2. Step 2: Convert to fraction form
    202,598.50/279,585.94 = 113,174.50/x
  3. Step 3: Cross multiply
    202,598.50x = 279,585.94 × 113,174.50
  4. Step 4: Simplify right side
    202,598.50x = 31,641,998,966.53
  5. Step 5: Solve for x
    x = 31,641,998,966.53/202,598.50
  6. Step 6: Final answer
    x = 156,180.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.