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Finding the Fourth Proportional to 121,412.56, 167,576.16 and 78,897.28

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Solution

The fourth proportional to 121,412.56, 167,576.16 and 78,897.28 is: 108,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,412.56 : 167,576.16 = 78,897.28 : x
  2. Step 2: Convert to fraction form
    121,412.56/167,576.16 = 78,897.28/x
  3. Step 3: Cross multiply
    121,412.56x = 167,576.16 × 78,897.28
  4. Step 4: Simplify right side
    121,412.56x = 13,221,303,216.84
  5. Step 5: Solve for x
    x = 13,221,303,216.84/121,412.56
  6. Step 6: Final answer
    x = 108,895.68

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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.