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Finding the Fourth Proportional to 261,833.40, 361,377.14 and 154,397

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Solution

The fourth proportional to 261,833.40, 361,377.14 and 154,397 is: 213,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,833.40 : 361,377.14 = 154,397 : x
  2. Step 2: Convert to fraction form
    261,833.40/361,377.14 = 154,397/x
  3. Step 3: Cross multiply
    261,833.40x = 361,377.14 × 154,397
  4. Step 4: Simplify right side
    261,833.40x = 55,795,546,284.58
  5. Step 5: Solve for x
    x = 55,795,546,284.58/261,833.40
  6. Step 6: Final answer
    x = 213,095.60

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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.