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Finding the Fourth Proportional to 133,423.04, 200,079.19 and 49,188

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Solution

The fourth proportional to 133,423.04, 200,079.19 and 49,188 is: 73,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,423.04 : 200,079.19 = 49,188 : x
  2. Step 2: Convert to fraction form
    133,423.04/200,079.19 = 49,188/x
  3. Step 3: Cross multiply
    133,423.04x = 200,079.19 × 49,188
  4. Step 4: Simplify right side
    133,423.04x = 9,841,495,197.72
  5. Step 5: Solve for x
    x = 9,841,495,197.72/133,423.04
  6. Step 6: Final answer
    x = 73,761.59

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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.