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Finding the Fourth Proportional to 120,843.20, 181,264.80 and 83,518.40

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Solution

The fourth proportional to 120,843.20, 181,264.80 and 83,518.40 is: 125,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,843.20 : 181,264.80 = 83,518.40 : x
  2. Step 2: Convert to fraction form
    120,843.20/181,264.80 = 83,518.40/x
  3. Step 3: Cross multiply
    120,843.20x = 181,264.80 × 83,518.40
  4. Step 4: Simplify right side
    120,843.20x = 15,138,946,072.32
  5. Step 5: Solve for x
    x = 15,138,946,072.32/120,843.20
  6. Step 6: Final answer
    x = 125,277.60

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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.