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Finding the Fourth Proportional to 218,462.84, 301,419.72 and 127,841.26

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Solution

The fourth proportional to 218,462.84, 301,419.72 and 127,841.26 is: 176,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,462.84 : 301,419.72 = 127,841.26 : x
  2. Step 2: Convert to fraction form
    218,462.84/301,419.72 = 127,841.26/x
  3. Step 3: Cross multiply
    218,462.84x = 301,419.72 × 127,841.26
  4. Step 4: Simplify right side
    218,462.84x = 38,533,876,793.65
  5. Step 5: Solve for x
    x = 38,533,876,793.65/218,462.84
  6. Step 6: Final answer
    x = 176,386.41

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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.