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Finding the Fourth Proportional to 192,098, 265,103.88 and 107,215.76

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Solution

The fourth proportional to 192,098, 265,103.88 and 107,215.76 is: 147,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,098 : 265,103.88 = 107,215.76 : x
  2. Step 2: Convert to fraction form
    192,098/265,103.88 = 107,215.76/x
  3. Step 3: Cross multiply
    192,098x = 265,103.88 × 107,215.76
  4. Step 4: Simplify right side
    192,098x = 28,423,313,973.15
  5. Step 5: Solve for x
    x = 28,423,313,973.15/192,098
  6. Step 6: Final answer
    x = 147,962.57

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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.