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Finding the Fourth Proportional to 133,077.76, 183,648 and 73,461.76

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Solution

The fourth proportional to 133,077.76, 183,648 and 73,461.76 is: 101,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,077.76 : 183,648 = 73,461.76 : x
  2. Step 2: Convert to fraction form
    133,077.76/183,648 = 73,461.76/x
  3. Step 3: Cross multiply
    133,077.76x = 183,648 × 73,461.76
  4. Step 4: Simplify right side
    133,077.76x = 13,491,105,300.48
  5. Step 5: Solve for x
    x = 13,491,105,300.48/133,077.76
  6. Step 6: Final answer
    x = 101,377.61

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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.