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Finding the Fourth Proportional to 182,909.94, 252,425.52 and 102,332.66

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Solution

The fourth proportional to 182,909.94, 252,425.52 and 102,332.66 is: 141,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,909.94 : 252,425.52 = 102,332.66 : x
  2. Step 2: Convert to fraction form
    182,909.94/252,425.52 = 102,332.66/x
  3. Step 3: Cross multiply
    182,909.94x = 252,425.52 × 102,332.66
  4. Step 4: Simplify right side
    182,909.94x = 25,831,374,913.48
  5. Step 5: Solve for x
    x = 25,831,374,913.48/182,909.94
  6. Step 6: Final answer
    x = 141,224.56

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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.