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Finding the Fourth Proportional to 311,168.29, 466,514.07 and 97,812.77

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Solution

The fourth proportional to 311,168.29, 466,514.07 and 97,812.77 is: 146,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,168.29 : 466,514.07 = 97,812.77 : x
  2. Step 2: Convert to fraction form
    311,168.29/466,514.07 = 97,812.77/x
  3. Step 3: Cross multiply
    311,168.29x = 466,514.07 × 97,812.77
  4. Step 4: Simplify right side
    311,168.29x = 45,631,033,430.67
  5. Step 5: Solve for x
    x = 45,631,033,430.67/311,168.29
  6. Step 6: Final answer
    x = 146,644.23

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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.