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Finding the Fourth Proportional to 460,069.20, 690,103.80 and 127,645.20

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Solution

The fourth proportional to 460,069.20, 690,103.80 and 127,645.20 is: 191,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,069.20 : 690,103.80 = 127,645.20 : x
  2. Step 2: Convert to fraction form
    460,069.20/690,103.80 = 127,645.20/x
  3. Step 3: Cross multiply
    460,069.20x = 690,103.80 × 127,645.20
  4. Step 4: Simplify right side
    460,069.20x = 88,088,437,571.76
  5. Step 5: Solve for x
    x = 88,088,437,571.76/460,069.20
  6. Step 6: Final answer
    x = 191,467.80

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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.