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Finding the Fourth Proportional to 180,229.46, 248,706.62 and 99,652.14

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Solution

The fourth proportional to 180,229.46, 248,706.62 and 99,652.14 is: 137,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,229.46 : 248,706.62 = 99,652.14 : x
  2. Step 2: Convert to fraction form
    180,229.46/248,706.62 = 99,652.14/x
  3. Step 3: Cross multiply
    180,229.46x = 248,706.62 × 99,652.14
  4. Step 4: Simplify right side
    180,229.46x = 24,784,146,915.17
  5. Step 5: Solve for x
    x = 24,784,146,915.17/180,229.46
  6. Step 6: Final answer
    x = 137,514.40

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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.