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Finding the Fourth Proportional to 102,586.20, 153,792.90 and 53,338.20

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Solution

The fourth proportional to 102,586.20, 153,792.90 and 53,338.20 is: 79,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.20 : 153,792.90 = 53,338.20 : x
  2. Step 2: Convert to fraction form
    102,586.20/153,792.90 = 53,338.20/x
  3. Step 3: Cross multiply
    102,586.20x = 153,792.90 × 53,338.20
  4. Step 4: Simplify right side
    102,586.20x = 8,203,036,458.78
  5. Step 5: Solve for x
    x = 8,203,036,458.78/102,586.20
  6. Step 6: Final answer
    x = 79,962.38

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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.