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Finding the Fourth Proportional to 119,414.40, 178,862.40 and 98,678.40

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Solution

The fourth proportional to 119,414.40, 178,862.40 and 98,678.40 is: 147,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.40 : 178,862.40 = 98,678.40 : x
  2. Step 2: Convert to fraction form
    119,414.40/178,862.40 = 98,678.40/x
  3. Step 3: Cross multiply
    119,414.40x = 178,862.40 × 98,678.40
  4. Step 4: Simplify right side
    119,414.40x = 17,649,855,452.16
  5. Step 5: Solve for x
    x = 17,649,855,452.16/119,414.40
  6. Step 6: Final answer
    x = 147,803.41

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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.