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Finding the Fourth Proportional to 99,069.80, 148,417.87 and 76,774.19

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Solution

The fourth proportional to 99,069.80, 148,417.87 and 76,774.19 is: 115,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,069.80 : 148,417.87 = 76,774.19 : x
  2. Step 2: Convert to fraction form
    99,069.80/148,417.87 = 76,774.19/x
  3. Step 3: Cross multiply
    99,069.80x = 148,417.87 × 76,774.19
  4. Step 4: Simplify right side
    99,069.80x = 11,394,661,366.90
  5. Step 5: Solve for x
    x = 11,394,661,366.90/99,069.80
  6. Step 6: Final answer
    x = 115,016.50

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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.