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Finding the Fourth Proportional to 126,974, 175,224.12 and 70,394

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Solution

The fourth proportional to 126,974, 175,224.12 and 70,394 is: 97,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,974 : 175,224.12 = 70,394 : x
  2. Step 2: Convert to fraction form
    126,974/175,224.12 = 70,394/x
  3. Step 3: Cross multiply
    126,974x = 175,224.12 × 70,394
  4. Step 4: Simplify right side
    126,974x = 12,334,726,703.28
  5. Step 5: Solve for x
    x = 12,334,726,703.28/126,974
  6. Step 6: Final answer
    x = 97,143.72

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