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Finding the Fourth Proportional to 98,291.40, 147,218.40 and 80,795.40

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Solution

The fourth proportional to 98,291.40, 147,218.40 and 80,795.40 is: 121,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,291.40 : 147,218.40 = 80,795.40 : x
  2. Step 2: Convert to fraction form
    98,291.40/147,218.40 = 80,795.40/x
  3. Step 3: Cross multiply
    98,291.40x = 147,218.40 × 80,795.40
  4. Step 4: Simplify right side
    98,291.40x = 11,894,569,515.36
  5. Step 5: Solve for x
    x = 11,894,569,515.36/98,291.40
  6. Step 6: Final answer
    x = 121,013.33

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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.