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Finding the Fourth Proportional to 263,555.77, 363,706.47 and 142,697.02

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Solution

The fourth proportional to 263,555.77, 363,706.47 and 142,697.02 is: 196,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,555.77 : 363,706.47 = 142,697.02 : x
  2. Step 2: Convert to fraction form
    263,555.77/363,706.47 = 142,697.02/x
  3. Step 3: Cross multiply
    263,555.77x = 363,706.47 × 142,697.02
  4. Step 4: Simplify right side
    263,555.77x = 51,899,829,423.72
  5. Step 5: Solve for x
    x = 51,899,829,423.72/263,555.77
  6. Step 6: Final answer
    x = 196,921.62

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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.