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Finding the Fourth Proportional to 98,862.80, 148,316.09 and 54,466.70

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Solution

The fourth proportional to 98,862.80, 148,316.09 and 54,466.70 is: 81,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,862.80 : 148,316.09 = 54,466.70 : x
  2. Step 2: Convert to fraction form
    98,862.80/148,316.09 = 54,466.70/x
  3. Step 3: Cross multiply
    98,862.80x = 148,316.09 × 54,466.70
  4. Step 4: Simplify right side
    98,862.80x = 8,078,286,965.29
  5. Step 5: Solve for x
    x = 8,078,286,965.29/98,862.80
  6. Step 6: Final answer
    x = 81,712.10

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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.