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Finding the Fourth Proportional to 115,246.46, 158,678.19 and 97,984.88

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Solution

The fourth proportional to 115,246.46, 158,678.19 and 97,984.88 is: 134,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,246.46 : 158,678.19 = 97,984.88 : x
  2. Step 2: Convert to fraction form
    115,246.46/158,678.19 = 97,984.88/x
  3. Step 3: Cross multiply
    115,246.46x = 158,678.19 × 97,984.88
  4. Step 4: Simplify right side
    115,246.46x = 15,548,062,612.38
  5. Step 5: Solve for x
    x = 15,548,062,612.38/115,246.46
  6. Step 6: Final answer
    x = 134,911.42

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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.