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Finding the Fourth Proportional to 180,196.38, 248,671.62 and 98,526.24

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Solution

The fourth proportional to 180,196.38, 248,671.62 and 98,526.24 is: 135,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,196.38 : 248,671.62 = 98,526.24 : x
  2. Step 2: Convert to fraction form
    180,196.38/248,671.62 = 98,526.24/x
  3. Step 3: Cross multiply
    180,196.38x = 248,671.62 × 98,526.24
  4. Step 4: Simplify right side
    180,196.38x = 24,500,679,713.31
  5. Step 5: Solve for x
    x = 24,500,679,713.31/180,196.38
  6. Step 6: Final answer
    x = 135,966.55

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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.