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Finding the Fourth Proportional to 176,748.17, 265,122.25 and 145,517.81

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Solution

The fourth proportional to 176,748.17, 265,122.25 and 145,517.81 is: 218,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,748.17 : 265,122.25 = 145,517.81 : x
  2. Step 2: Convert to fraction form
    176,748.17/265,122.25 = 145,517.81/x
  3. Step 3: Cross multiply
    176,748.17x = 265,122.25 × 145,517.81
  4. Step 4: Simplify right side
    176,748.17x = 38,580,007,512.87
  5. Step 5: Solve for x
    x = 38,580,007,512.87/176,748.17
  6. Step 6: Final answer
    x = 218,276.71

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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.