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Finding the Fourth Proportional to 180,229.79, 248,695.26 and 99,646.31

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Solution

The fourth proportional to 180,229.79, 248,695.26 and 99,646.31 is: 137,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,229.79 : 248,695.26 = 99,646.31 : x
  2. Step 2: Convert to fraction form
    180,229.79/248,695.26 = 99,646.31/x
  3. Step 3: Cross multiply
    180,229.79x = 248,695.26 × 99,646.31
  4. Step 4: Simplify right side
    180,229.79x = 24,781,564,973.49
  5. Step 5: Solve for x
    x = 24,781,564,973.49/180,229.79
  6. Step 6: Final answer
    x = 137,499.83

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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.