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Finding the Fourth Proportional to 95,242.83, 142,738.89 and 53,142.74

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Solution

The fourth proportional to 95,242.83, 142,738.89 and 53,142.74 is: 79,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,242.83 : 142,738.89 = 53,142.74 : x
  2. Step 2: Convert to fraction form
    95,242.83/142,738.89 = 53,142.74/x
  3. Step 3: Cross multiply
    95,242.83x = 142,738.89 × 53,142.74
  4. Step 4: Simplify right side
    95,242.83x = 7,585,535,005.46
  5. Step 5: Solve for x
    x = 7,585,535,005.46/95,242.83
  6. Step 6: Final answer
    x = 79,644.16

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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.