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Finding the Fourth Proportional to 180,968.61, 271,452.92 and 98,024.61

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Solution

The fourth proportional to 180,968.61, 271,452.92 and 98,024.61 is: 147,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,968.61 : 271,452.92 = 98,024.61 : x
  2. Step 2: Convert to fraction form
    180,968.61/271,452.92 = 98,024.61/x
  3. Step 3: Cross multiply
    180,968.61x = 271,452.92 × 98,024.61
  4. Step 4: Simplify right side
    180,968.61x = 26,609,066,616.36
  5. Step 5: Solve for x
    x = 26,609,066,616.36/180,968.61
  6. Step 6: Final answer
    x = 147,036.92

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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.