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Finding the Fourth Proportional to 137,184.40, 206,122.20 and 87,288.40

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Solution

The fourth proportional to 137,184.40, 206,122.20 and 87,288.40 is: 131,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,184.40 : 206,122.20 = 87,288.40 : x
  2. Step 2: Convert to fraction form
    137,184.40/206,122.20 = 87,288.40/x
  3. Step 3: Cross multiply
    137,184.40x = 206,122.20 × 87,288.40
  4. Step 4: Simplify right side
    137,184.40x = 17,992,077,042.48
  5. Step 5: Solve for x
    x = 17,992,077,042.48/137,184.40
  6. Step 6: Final answer
    x = 131,152.50

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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.