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Finding the Fourth Proportional to 180,407.67, 248,956.45 and 99,838.59

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Solution

The fourth proportional to 180,407.67, 248,956.45 and 99,838.59 is: 137,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.67 : 248,956.45 = 99,838.59 : x
  2. Step 2: Convert to fraction form
    180,407.67/248,956.45 = 99,838.59/x
  3. Step 3: Cross multiply
    180,407.67x = 248,956.45 × 99,838.59
  4. Step 4: Simplify right side
    180,407.67x = 24,855,459,694.62
  5. Step 5: Solve for x
    x = 24,855,459,694.62/180,407.67
  6. Step 6: Final answer
    x = 137,773.86

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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.