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Finding the Fourth Proportional to 98,970.68, 148,488.60 and 65,821.16

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Solution

The fourth proportional to 98,970.68, 148,488.60 and 65,821.16 is: 98,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970.68 : 148,488.60 = 65,821.16 : x
  2. Step 2: Convert to fraction form
    98,970.68/148,488.60 = 65,821.16/x
  3. Step 3: Cross multiply
    98,970.68x = 148,488.60 × 65,821.16
  4. Step 4: Simplify right side
    98,970.68x = 9,773,691,898.78
  5. Step 5: Solve for x
    x = 9,773,691,898.78/98,970.68
  6. Step 6: Final answer
    x = 98,753.41

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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.