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Finding the Fourth Proportional to 99,106.92, 136,762.56 and 58,822.38

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Solution

The fourth proportional to 99,106.92, 136,762.56 and 58,822.38 is: 81,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,106.92 : 136,762.56 = 58,822.38 : x
  2. Step 2: Convert to fraction form
    99,106.92/136,762.56 = 58,822.38/x
  3. Step 3: Cross multiply
    99,106.92x = 136,762.56 × 58,822.38
  4. Step 4: Simplify right side
    99,106.92x = 8,044,699,274.09
  5. Step 5: Solve for x
    x = 8,044,699,274.09/99,106.92
  6. Step 6: Final answer
    x = 81,171.92

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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.