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Finding the Fourth Proportional to 142,371, 196,476.08 and 78,712.90

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Solution

The fourth proportional to 142,371, 196,476.08 and 78,712.90 is: 108,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,371 : 196,476.08 = 78,712.90 : x
  2. Step 2: Convert to fraction form
    142,371/196,476.08 = 78,712.90/x
  3. Step 3: Cross multiply
    142,371x = 196,476.08 × 78,712.90
  4. Step 4: Simplify right side
    142,371x = 15,465,201,595.44
  5. Step 5: Solve for x
    x = 15,465,201,595.44/142,371
  6. Step 6: Final answer
    x = 108,626.07

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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.