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Finding the Fourth Proportional to 120,050.40, 179,816.40 and 99,314.40

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Solution

The fourth proportional to 120,050.40, 179,816.40 and 99,314.40 is: 148,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,050.40 : 179,816.40 = 99,314.40 : x
  2. Step 2: Convert to fraction form
    120,050.40/179,816.40 = 99,314.40/x
  3. Step 3: Cross multiply
    120,050.40x = 179,816.40 × 99,314.40
  4. Step 4: Simplify right side
    120,050.40x = 17,858,357,876.16
  5. Step 5: Solve for x
    x = 17,858,357,876.16/120,050.40
  6. Step 6: Final answer
    x = 148,757.17

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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.