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Finding the Fourth Proportional to 229,494.93, 344,310.84 and 109,641.66

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Solution

The fourth proportional to 229,494.93, 344,310.84 and 109,641.66 is: 164,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,494.93 : 344,310.84 = 109,641.66 : x
  2. Step 2: Convert to fraction form
    229,494.93/344,310.84 = 109,641.66/x
  3. Step 3: Cross multiply
    229,494.93x = 344,310.84 × 109,641.66
  4. Step 4: Simplify right side
    229,494.93x = 37,750,812,053.59
  5. Step 5: Solve for x
    x = 37,750,812,053.59/229,494.93
  6. Step 6: Final answer
    x = 164,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.