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Finding the Fourth Proportional to 132,151.80, 197,822.70 and 72,805.80

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Solution

The fourth proportional to 132,151.80, 197,822.70 and 72,805.80 is: 108,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,151.80 : 197,822.70 = 72,805.80 : x
  2. Step 2: Convert to fraction form
    132,151.80/197,822.70 = 72,805.80/x
  3. Step 3: Cross multiply
    132,151.80x = 197,822.70 × 72,805.80
  4. Step 4: Simplify right side
    132,151.80x = 14,402,639,931.66
  5. Step 5: Solve for x
    x = 14,402,639,931.66/132,151.80
  6. Step 6: Final answer
    x = 108,985.58

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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.