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Finding the Fourth Proportional to 154,820.46, 213,454.34 and 100,276.38

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Solution

The fourth proportional to 154,820.46, 213,454.34 and 100,276.38 is: 138,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,820.46 : 213,454.34 = 100,276.38 : x
  2. Step 2: Convert to fraction form
    154,820.46/213,454.34 = 100,276.38/x
  3. Step 3: Cross multiply
    154,820.46x = 213,454.34 × 100,276.38
  4. Step 4: Simplify right side
    154,820.46x = 21,404,428,385.14
  5. Step 5: Solve for x
    x = 21,404,428,385.14/154,820.46
  6. Step 6: Final answer
    x = 138,253.22

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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.