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Finding the Fourth Proportional to 142,718.40, 214,077.60 and 87,422.40

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Solution

The fourth proportional to 142,718.40, 214,077.60 and 87,422.40 is: 131,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.40 : 214,077.60 = 87,422.40 : x
  2. Step 2: Convert to fraction form
    142,718.40/214,077.60 = 87,422.40/x
  3. Step 3: Cross multiply
    142,718.40x = 214,077.60 × 87,422.40
  4. Step 4: Simplify right side
    142,718.40x = 18,715,177,578.24
  5. Step 5: Solve for x
    x = 18,715,177,578.24/142,718.40
  6. Step 6: Final answer
    x = 131,133.60

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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.