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Finding the Fourth Proportional to 96,543.80, 144,815.70 and 84,870.20

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Solution

The fourth proportional to 96,543.80, 144,815.70 and 84,870.20 is: 127,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.80 : 144,815.70 = 84,870.20 : x
  2. Step 2: Convert to fraction form
    96,543.80/144,815.70 = 84,870.20/x
  3. Step 3: Cross multiply
    96,543.80x = 144,815.70 × 84,870.20
  4. Step 4: Simplify right side
    96,543.80x = 12,290,537,422.14
  5. Step 5: Solve for x
    x = 12,290,537,422.14/96,543.80
  6. Step 6: Final answer
    x = 127,305.30

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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.