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Finding the Fourth Proportional to 126,906.84, 175,142.04 and 70,323.48

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Solution

The fourth proportional to 126,906.84, 175,142.04 and 70,323.48 is: 97,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,906.84 : 175,142.04 = 70,323.48 : x
  2. Step 2: Convert to fraction form
    126,906.84/175,142.04 = 70,323.48/x
  3. Step 3: Cross multiply
    126,906.84x = 175,142.04 × 70,323.48
  4. Step 4: Simplify right side
    126,906.84x = 12,316,597,747.10
  5. Step 5: Solve for x
    x = 12,316,597,747.10/126,906.84
  6. Step 6: Final answer
    x = 97,052.28

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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.