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Finding the Fourth Proportional to 311,052.51, 466,660.25 and 97,811.82

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Solution

The fourth proportional to 311,052.51, 466,660.25 and 97,811.82 is: 146,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,052.51 : 466,660.25 = 97,811.82 : x
  2. Step 2: Convert to fraction form
    311,052.51/466,660.25 = 97,811.82/x
  3. Step 3: Cross multiply
    311,052.51x = 466,660.25 × 97,811.82
  4. Step 4: Simplify right side
    311,052.51x = 45,644,887,885.10
  5. Step 5: Solve for x
    x = 45,644,887,885.10/311,052.51
  6. Step 6: Final answer
    x = 146,743.35

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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.