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Finding the Fourth Proportional to 99,285.84, 148,928.42 and 40,120.80

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Solution

The fourth proportional to 99,285.84, 148,928.42 and 40,120.80 is: 60,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285.84 : 148,928.42 = 40,120.80 : x
  2. Step 2: Convert to fraction form
    99,285.84/148,928.42 = 40,120.80/x
  3. Step 3: Cross multiply
    99,285.84x = 148,928.42 × 40,120.80
  4. Step 4: Simplify right side
    99,285.84x = 5,975,127,353.14
  5. Step 5: Solve for x
    x = 5,975,127,353.14/99,285.84
  6. Step 6: Final answer
    x = 60,181.06

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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.