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Finding the Fourth Proportional to 126,496, 174,562.14 and 69,906.16

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Solution

The fourth proportional to 126,496, 174,562.14 and 69,906.16 is: 96,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,496 : 174,562.14 = 69,906.16 : x
  2. Step 2: Convert to fraction form
    126,496/174,562.14 = 69,906.16/x
  3. Step 3: Cross multiply
    126,496x = 174,562.14 × 69,906.16
  4. Step 4: Simplify right side
    126,496x = 12,202,968,888.78
  5. Step 5: Solve for x
    x = 12,202,968,888.78/126,496
  6. Step 6: Final answer
    x = 96,469.21

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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.