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Finding the Fourth Proportional to 237,205.84, 327,230.96 and 146,529.16

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Solution

The fourth proportional to 237,205.84, 327,230.96 and 146,529.16 is: 202,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,205.84 : 327,230.96 = 146,529.16 : x
  2. Step 2: Convert to fraction form
    237,205.84/327,230.96 = 146,529.16/x
  3. Step 3: Cross multiply
    237,205.84x = 327,230.96 × 146,529.16
  4. Step 4: Simplify right side
    237,205.84x = 47,948,877,694.79
  5. Step 5: Solve for x
    x = 47,948,877,694.79/237,205.84
  6. Step 6: Final answer
    x = 202,140.38

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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.