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Finding the Fourth Proportional to 257,352.04, 386,076.63 and 97,475.86

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Solution

The fourth proportional to 257,352.04, 386,076.63 and 97,475.86 is: 146,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,352.04 : 386,076.63 = 97,475.86 : x
  2. Step 2: Convert to fraction form
    257,352.04/386,076.63 = 97,475.86/x
  3. Step 3: Cross multiply
    257,352.04x = 386,076.63 × 97,475.86
  4. Step 4: Simplify right side
    257,352.04x = 37,633,149,663.30
  5. Step 5: Solve for x
    x = 37,633,149,663.30/257,352.04
  6. Step 6: Final answer
    x = 146,232.18

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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.