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Finding the Fourth Proportional to 99,532.40, 149,298.60 and 82,036.40

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Solution

The fourth proportional to 99,532.40, 149,298.60 and 82,036.40 is: 123,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,532.40 : 149,298.60 = 82,036.40 : x
  2. Step 2: Convert to fraction form
    99,532.40/149,298.60 = 82,036.40/x
  3. Step 3: Cross multiply
    99,532.40x = 149,298.60 × 82,036.40
  4. Step 4: Simplify right side
    99,532.40x = 12,247,919,669.04
  5. Step 5: Solve for x
    x = 12,247,919,669.04/99,532.40
  6. Step 6: Final answer
    x = 123,054.60

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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.