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Finding the Fourth Proportional to 176,645.27, 264,928.08 and 50,282.71

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Solution

The fourth proportional to 176,645.27, 264,928.08 and 50,282.71 is: 75,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,645.27 : 264,928.08 = 50,282.71 : x
  2. Step 2: Convert to fraction form
    176,645.27/264,928.08 = 50,282.71/x
  3. Step 3: Cross multiply
    176,645.27x = 264,928.08 × 50,282.71
  4. Step 4: Simplify right side
    176,645.27x = 13,321,301,343.74
  5. Step 5: Solve for x
    x = 13,321,301,343.74/176,645.27
  6. Step 6: Final answer
    x = 75,412.72

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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.