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Finding the Fourth Proportional to 118,082.76, 177,065.82 and 51,494.01

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Solution

The fourth proportional to 118,082.76, 177,065.82 and 51,494.01 is: 77,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,082.76 : 177,065.82 = 51,494.01 : x
  2. Step 2: Convert to fraction form
    118,082.76/177,065.82 = 51,494.01/x
  3. Step 3: Cross multiply
    118,082.76x = 177,065.82 × 51,494.01
  4. Step 4: Simplify right side
    118,082.76x = 9,117,829,105.74
  5. Step 5: Solve for x
    x = 9,117,829,105.74/118,082.76
  6. Step 6: Final answer
    x = 77,215.58

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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.