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Finding the Fourth Proportional to 151,797.70, 209,393.00 and 98,082.71

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Solution

The fourth proportional to 151,797.70, 209,393.00 and 98,082.71 is: 135,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,797.70 : 209,393.00 = 98,082.71 : x
  2. Step 2: Convert to fraction form
    151,797.70/209,393.00 = 98,082.71/x
  3. Step 3: Cross multiply
    151,797.70x = 209,393.00 × 98,082.71
  4. Step 4: Simplify right side
    151,797.70x = 20,537,834,240.24
  5. Step 5: Solve for x
    x = 20,537,834,240.24/151,797.70
  6. Step 6: Final answer
    x = 135,297.40

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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.