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Finding the Fourth Proportional to 142,073.84, 196,063.26 and 78,410.28

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Solution

The fourth proportional to 142,073.84, 196,063.26 and 78,410.28 is: 108,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.84 : 196,063.26 = 78,410.28 : x
  2. Step 2: Convert to fraction form
    142,073.84/196,063.26 = 78,410.28/x
  3. Step 3: Cross multiply
    142,073.84x = 196,063.26 × 78,410.28
  4. Step 4: Simplify right side
    142,073.84x = 15,373,375,114.31
  5. Step 5: Solve for x
    x = 15,373,375,114.31/142,073.84
  6. Step 6: Final answer
    x = 108,206.94

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1.5x scale

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.