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Finding the Fourth Proportional to 257,541.55, 386,259.72 and 97,562.33

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Solution

The fourth proportional to 257,541.55, 386,259.72 and 97,562.33 is: 146,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,541.55 : 386,259.72 = 97,562.33 : x
  2. Step 2: Convert to fraction form
    257,541.55/386,259.72 = 97,562.33/x
  3. Step 3: Cross multiply
    257,541.55x = 386,259.72 × 97,562.33
  4. Step 4: Simplify right side
    257,541.55x = 37,684,397,419.66
  5. Step 5: Solve for x
    x = 37,684,397,419.66/257,541.55
  6. Step 6: Final answer
    x = 146,323.57

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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.