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Finding the Fourth Proportional to 257,308.87, 386,000.52 and 97,341.43

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Solution

The fourth proportional to 257,308.87, 386,000.52 and 97,341.43 is: 146,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,308.87 : 386,000.52 = 97,341.43 : x
  2. Step 2: Convert to fraction form
    257,308.87/386,000.52 = 97,341.43/x
  3. Step 3: Cross multiply
    257,308.87x = 386,000.52 × 97,341.43
  4. Step 4: Simplify right side
    257,308.87x = 37,573,842,597.54
  5. Step 5: Solve for x
    x = 37,573,842,597.54/257,308.87
  6. Step 6: Final answer
    x = 146,026.22

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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.