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Finding the Fourth Proportional to 142,370.88, 196,470.72 and 78,711.36

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Solution

The fourth proportional to 142,370.88, 196,470.72 and 78,711.36 is: 108,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,370.88 : 196,470.72 = 78,711.36 : x
  2. Step 2: Convert to fraction form
    142,370.88/196,470.72 = 78,711.36/x
  3. Step 3: Cross multiply
    142,370.88x = 196,470.72 × 78,711.36
  4. Step 4: Simplify right side
    142,370.88x = 15,464,477,571.38
  5. Step 5: Solve for x
    x = 15,464,477,571.38/142,370.88
  6. Step 6: Final answer
    x = 108,621.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.