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Finding the Fourth Proportional to 153,838.80, 230,758.20 and 83,854.80

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Solution

The fourth proportional to 153,838.80, 230,758.20 and 83,854.80 is: 125,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,838.80 : 230,758.20 = 83,854.80 : x
  2. Step 2: Convert to fraction form
    153,838.80/230,758.20 = 83,854.80/x
  3. Step 3: Cross multiply
    153,838.80x = 230,758.20 × 83,854.80
  4. Step 4: Simplify right side
    153,838.80x = 19,350,182,709.36
  5. Step 5: Solve for x
    x = 19,350,182,709.36/153,838.80
  6. Step 6: Final answer
    x = 125,782.20

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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.