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Finding the Fourth Proportional to 257,534.64, 386,073 and 97,499.16

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Solution

The fourth proportional to 257,534.64, 386,073 and 97,499.16 is: 146,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,534.64 : 386,073 = 97,499.16 : x
  2. Step 2: Convert to fraction form
    257,534.64/386,073 = 97,499.16/x
  3. Step 3: Cross multiply
    257,534.64x = 386,073 × 97,499.16
  4. Step 4: Simplify right side
    257,534.64x = 37,641,793,198.68
  5. Step 5: Solve for x
    x = 37,641,793,198.68/257,534.64
  6. Step 6: Final answer
    x = 146,162.06

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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.