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Finding the Fourth Proportional to 153,782.20, 230,738.10 and 83,711.80

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Solution

The fourth proportional to 153,782.20, 230,738.10 and 83,711.80 is: 125,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.20 : 230,738.10 = 83,711.80 : x
  2. Step 2: Convert to fraction form
    153,782.20/230,738.10 = 83,711.80/x
  3. Step 3: Cross multiply
    153,782.20x = 230,738.10 × 83,711.80
  4. Step 4: Simplify right side
    153,782.20x = 19,315,501,679.58
  5. Step 5: Solve for x
    x = 19,315,501,679.58/153,782.20
  6. Step 6: Final answer
    x = 125,602.97

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1.5x scale

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.