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Finding the Fourth Proportional to 408,053.40, 612,137.70 and 127,541.40

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Solution

The fourth proportional to 408,053.40, 612,137.70 and 127,541.40 is: 191,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.40 : 612,137.70 = 127,541.40 : x
  2. Step 2: Convert to fraction form
    408,053.40/612,137.70 = 127,541.40/x
  3. Step 3: Cross multiply
    408,053.40x = 612,137.70 × 127,541.40
  4. Step 4: Simplify right side
    408,053.40x = 78,072,899,250.78
  5. Step 5: Solve for x
    x = 78,072,899,250.78/408,053.40
  6. Step 6: Final answer
    x = 191,330.10

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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.