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Finding the Fourth Proportional to 142,083.20, 213,124.80 and 89,724.80

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Solution

The fourth proportional to 142,083.20, 213,124.80 and 89,724.80 is: 134,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.20 : 213,124.80 = 89,724.80 : x
  2. Step 2: Convert to fraction form
    142,083.20/213,124.80 = 89,724.80/x
  3. Step 3: Cross multiply
    142,083.20x = 213,124.80 × 89,724.80
  4. Step 4: Simplify right side
    142,083.20x = 19,122,580,055.04
  5. Step 5: Solve for x
    x = 19,122,580,055.04/142,083.20
  6. Step 6: Final answer
    x = 134,587.20

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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.