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Finding the Fourth Proportional to 151,713.10, 227,569.65 and 101,817.10

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Solution

The fourth proportional to 151,713.10, 227,569.65 and 101,817.10 is: 152,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,713.10 : 227,569.65 = 101,817.10 : x
  2. Step 2: Convert to fraction form
    151,713.10/227,569.65 = 101,817.10/x
  3. Step 3: Cross multiply
    151,713.10x = 227,569.65 × 101,817.10
  4. Step 4: Simplify right side
    151,713.10x = 23,170,481,811.02
  5. Step 5: Solve for x
    x = 23,170,481,811.02/151,713.10
  6. Step 6: Final answer
    x = 152,725.65

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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.