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Finding the Fourth Proportional to 202,566.30, 279,484.59 and 116,520.78

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Solution

The fourth proportional to 202,566.30, 279,484.59 and 116,520.78 is: 160,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,566.30 : 279,484.59 = 116,520.78 : x
  2. Step 2: Convert to fraction form
    202,566.30/279,484.59 = 116,520.78/x
  3. Step 3: Cross multiply
    202,566.30x = 279,484.59 × 116,520.78
  4. Step 4: Simplify right side
    202,566.30x = 32,565,762,424.78
  5. Step 5: Solve for x
    x = 32,565,762,424.78/202,566.30
  6. Step 6: Final answer
    x = 160,765.94

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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.