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Finding the Fourth Proportional to 257,047.12, 354,724.95 and 143,869.87

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Solution

The fourth proportional to 257,047.12, 354,724.95 and 143,869.87 is: 198,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,047.12 : 354,724.95 = 143,869.87 : x
  2. Step 2: Convert to fraction form
    257,047.12/354,724.95 = 143,869.87/x
  3. Step 3: Cross multiply
    257,047.12x = 354,724.95 × 143,869.87
  4. Step 4: Simplify right side
    257,047.12x = 51,034,232,442.26
  5. Step 5: Solve for x
    x = 51,034,232,442.26/257,047.12
  6. Step 6: Final answer
    x = 198,540.38

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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.