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Finding the Fourth Proportional to 133,233.61, 199,863.74 and 38,466.11

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Solution

The fourth proportional to 133,233.61, 199,863.74 and 38,466.11 is: 57,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,233.61 : 199,863.74 = 38,466.11 : x
  2. Step 2: Convert to fraction form
    133,233.61/199,863.74 = 38,466.11/x
  3. Step 3: Cross multiply
    133,233.61x = 199,863.74 × 38,466.11
  4. Step 4: Simplify right side
    133,233.61x = 7,687,980,607.85
  5. Step 5: Solve for x
    x = 7,687,980,607.85/133,233.61
  6. Step 6: Final answer
    x = 57,703.01

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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.