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Finding the Fourth Proportional to 144,794.38, 199,816.32 and 88,205.76

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Solution

The fourth proportional to 144,794.38, 199,816.32 and 88,205.76 is: 121,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,794.38 : 199,816.32 = 88,205.76 : x
  2. Step 2: Convert to fraction form
    144,794.38/199,816.32 = 88,205.76/x
  3. Step 3: Cross multiply
    144,794.38x = 199,816.32 × 88,205.76
  4. Step 4: Simplify right side
    144,794.38x = 17,624,948,925.89
  5. Step 5: Solve for x
    x = 17,624,948,925.89/144,794.38
  6. Step 6: Final answer
    x = 121,723.98

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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.