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Finding the Fourth Proportional to 176,275.92, 264,357.68 and 57,919.84

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Solution

The fourth proportional to 176,275.92, 264,357.68 and 57,919.84 is: 86,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,275.92 : 264,357.68 = 57,919.84 : x
  2. Step 2: Convert to fraction form
    176,275.92/264,357.68 = 57,919.84/x
  3. Step 3: Cross multiply
    176,275.92x = 264,357.68 × 57,919.84
  4. Step 4: Simplify right side
    176,275.92x = 15,311,554,528.37
  5. Step 5: Solve for x
    x = 15,311,554,528.37/176,275.92
  6. Step 6: Final answer
    x = 86,861.29

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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.