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Finding the Fourth Proportional to 176,943.28, 265,459.88 and 52,284.28

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Solution

The fourth proportional to 176,943.28, 265,459.88 and 52,284.28 is: 78,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,943.28 : 265,459.88 = 52,284.28 : x
  2. Step 2: Convert to fraction form
    176,943.28/265,459.88 = 52,284.28/x
  3. Step 3: Cross multiply
    176,943.28x = 265,459.88 × 52,284.28
  4. Step 4: Simplify right side
    176,943.28x = 13,879,378,694.69
  5. Step 5: Solve for x
    x = 13,879,378,694.69/176,943.28
  6. Step 6: Final answer
    x = 78,439.71

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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.