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Finding the Fourth Proportional to 412,153.27, 618,318.47 and 127,837.87

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Solution

The fourth proportional to 412,153.27, 618,318.47 and 127,837.87 is: 191,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,153.27 : 618,318.47 = 127,837.87 : x
  2. Step 2: Convert to fraction form
    412,153.27/618,318.47 = 127,837.87/x
  3. Step 3: Cross multiply
    412,153.27x = 618,318.47 × 127,837.87
  4. Step 4: Simplify right side
    412,153.27x = 79,044,516,186.46
  5. Step 5: Solve for x
    x = 79,044,516,186.46/412,153.27
  6. Step 6: Final answer
    x = 191,784.28

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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.