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Finding the Fourth Proportional to 133,908.89, 200,897.15 and 61,827.03

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Solution

The fourth proportional to 133,908.89, 200,897.15 and 61,827.03 is: 92,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,908.89 : 200,897.15 = 61,827.03 : x
  2. Step 2: Convert to fraction form
    133,908.89/200,897.15 = 61,827.03/x
  3. Step 3: Cross multiply
    133,908.89x = 200,897.15 × 61,827.03
  4. Step 4: Simplify right side
    133,908.89x = 12,420,873,810.83
  5. Step 5: Solve for x
    x = 12,420,873,810.83/133,908.89
  6. Step 6: Final answer
    x = 92,756.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.