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Finding the Fourth Proportional to 144,355.84, 199,251.30 and 99,041.20

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Solution

The fourth proportional to 144,355.84, 199,251.30 and 99,041.20 is: 136,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,355.84 : 199,251.30 = 99,041.20 : x
  2. Step 2: Convert to fraction form
    144,355.84/199,251.30 = 99,041.20/x
  3. Step 3: Cross multiply
    144,355.84x = 199,251.30 × 99,041.20
  4. Step 4: Simplify right side
    144,355.84x = 19,734,087,853.56
  5. Step 5: Solve for x
    x = 19,734,087,853.56/144,355.84
  6. Step 6: Final answer
    x = 136,704.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.