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Finding the Fourth Proportional to 99,091.65, 148,549.99 and 75,821.97

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Solution

The fourth proportional to 99,091.65, 148,549.99 and 75,821.97 is: 113,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,091.65 : 148,549.99 = 75,821.97 : x
  2. Step 2: Convert to fraction form
    99,091.65/148,549.99 = 75,821.97/x
  3. Step 3: Cross multiply
    99,091.65x = 148,549.99 × 75,821.97
  4. Step 4: Simplify right side
    99,091.65x = 11,263,352,885.28
  5. Step 5: Solve for x
    x = 11,263,352,885.28/99,091.65
  6. Step 6: Final answer
    x = 113,666.01

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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.