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Finding the Fourth Proportional to 126,114, 174,033 and 69,522

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Solution

The fourth proportional to 126,114, 174,033 and 69,522 is: 95,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114 : 174,033 = 69,522 : x
  2. Step 2: Convert to fraction form
    126,114/174,033 = 69,522/x
  3. Step 3: Cross multiply
    126,114x = 174,033 × 69,522
  4. Step 4: Simplify right side
    126,114x = 12,099,122,226
  5. Step 5: Solve for x
    x = 12,099,122,226/126,114
  6. Step 6: Final answer
    x = 95,937.98

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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.