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Finding the Fourth Proportional to 142,409.20, 213,383.40 and 89,724.40

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Solution

The fourth proportional to 142,409.20, 213,383.40 and 89,724.40 is: 134,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,409.20 : 213,383.40 = 89,724.40 : x
  2. Step 2: Convert to fraction form
    142,409.20/213,383.40 = 89,724.40/x
  3. Step 3: Cross multiply
    142,409.20x = 213,383.40 × 89,724.40
  4. Step 4: Simplify right side
    142,409.20x = 19,145,697,534.96
  5. Step 5: Solve for x
    x = 19,145,697,534.96/142,409.20
  6. Step 6: Final answer
    x = 134,441.44

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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.