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Finding the Fourth Proportional to 172,895.88, 238,615.30 and 100,314.76

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Solution

The fourth proportional to 172,895.88, 238,615.30 and 100,314.76 is: 138,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,895.88 : 238,615.30 = 100,314.76 : x
  2. Step 2: Convert to fraction form
    172,895.88/238,615.30 = 100,314.76/x
  3. Step 3: Cross multiply
    172,895.88x = 238,615.30 × 100,314.76
  4. Step 4: Simplify right side
    172,895.88x = 23,936,636,551.83
  5. Step 5: Solve for x
    x = 23,936,636,551.83/172,895.88
  6. Step 6: Final answer
    x = 138,445.38

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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.