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Finding the Fourth Proportional to 177,299.28, 265,992.72 and 52,640.16

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Solution

The fourth proportional to 177,299.28, 265,992.72 and 52,640.16 is: 78,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,299.28 : 265,992.72 = 52,640.16 : x
  2. Step 2: Convert to fraction form
    177,299.28/265,992.72 = 52,640.16/x
  3. Step 3: Cross multiply
    177,299.28x = 265,992.72 × 52,640.16
  4. Step 4: Simplify right side
    177,299.28x = 14,001,899,339.64
  5. Step 5: Solve for x
    x = 14,001,899,339.64/177,299.28
  6. Step 6: Final answer
    x = 78,973.24

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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.