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Finding the Fourth Proportional to 129,208.80, 178,362.72 and 121,138.08

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Solution

The fourth proportional to 129,208.80, 178,362.72 and 121,138.08 is: 167,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,208.80 : 178,362.72 = 121,138.08 : x
  2. Step 2: Convert to fraction form
    129,208.80/178,362.72 = 121,138.08/x
  3. Step 3: Cross multiply
    129,208.80x = 178,362.72 × 121,138.08
  4. Step 4: Simplify right side
    129,208.80x = 21,606,517,444.38
  5. Step 5: Solve for x
    x = 21,606,517,444.38/129,208.80
  6. Step 6: Final answer
    x = 167,221.72

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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.