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Finding the Fourth Proportional to 127,155.16, 175,419.30 and 76,825

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Solution

The fourth proportional to 127,155.16, 175,419.30 and 76,825 is: 105,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,155.16 : 175,419.30 = 76,825 : x
  2. Step 2: Convert to fraction form
    127,155.16/175,419.30 = 76,825/x
  3. Step 3: Cross multiply
    127,155.16x = 175,419.30 × 76,825
  4. Step 4: Simplify right side
    127,155.16x = 13,476,587,722.50
  5. Step 5: Solve for x
    x = 13,476,587,722.50/127,155.16
  6. Step 6: Final answer
    x = 105,985.38

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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.