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Finding the Fourth Proportional to 151,646.53, 227,510.10 and 51,806.53

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Solution

The fourth proportional to 151,646.53, 227,510.10 and 51,806.53 is: 77,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646.53 : 227,510.10 = 51,806.53 : x
  2. Step 2: Convert to fraction form
    151,646.53/227,510.10 = 51,806.53/x
  3. Step 3: Cross multiply
    151,646.53x = 227,510.10 × 51,806.53
  4. Step 4: Simplify right side
    151,646.53x = 11,786,508,820.95
  5. Step 5: Solve for x
    x = 11,786,508,820.95/151,646.53
  6. Step 6: Final answer
    x = 77,723.56

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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.