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Finding the Fourth Proportional to 144,480.48, 199,398.08 and 83,228.78

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Solution

The fourth proportional to 144,480.48, 199,398.08 and 83,228.78 is: 114,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480.48 : 199,398.08 = 83,228.78 : x
  2. Step 2: Convert to fraction form
    144,480.48/199,398.08 = 83,228.78/x
  3. Step 3: Cross multiply
    144,480.48x = 199,398.08 × 83,228.78
  4. Step 4: Simplify right side
    144,480.48x = 16,595,658,932.74
  5. Step 5: Solve for x
    x = 16,595,658,932.74/144,480.48
  6. Step 6: Final answer
    x = 114,864.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.