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Finding the Fourth Proportional to 412,125.72, 618,277.35 and 127,810.53

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Solution

The fourth proportional to 412,125.72, 618,277.35 and 127,810.53 is: 191,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,125.72 : 618,277.35 = 127,810.53 : x
  2. Step 2: Convert to fraction form
    412,125.72/618,277.35 = 127,810.53/x
  3. Step 3: Cross multiply
    412,125.72x = 618,277.35 × 127,810.53
  4. Step 4: Simplify right side
    412,125.72x = 79,022,355,790.50
  5. Step 5: Solve for x
    x = 79,022,355,790.50/412,125.72
  6. Step 6: Final answer
    x = 191,743.32

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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.