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Finding the Fourth Proportional to 176,002.84, 242,865.93 and 108,022.66

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Solution

The fourth proportional to 176,002.84, 242,865.93 and 108,022.66 is: 149,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002.84 : 242,865.93 = 108,022.66 : x
  2. Step 2: Convert to fraction form
    176,002.84/242,865.93 = 108,022.66/x
  3. Step 3: Cross multiply
    176,002.84x = 242,865.93 × 108,022.66
  4. Step 4: Simplify right side
    176,002.84x = 26,235,023,781.97
  5. Step 5: Solve for x
    x = 26,235,023,781.97/176,002.84
  6. Step 6: Final answer
    x = 149,060.23

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