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Finding the Fourth Proportional to 176,212.50, 243,375.12 and 116,052

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Solution

The fourth proportional to 176,212.50, 243,375.12 and 116,052 is: 160,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,212.50 : 243,375.12 = 116,052 : x
  2. Step 2: Convert to fraction form
    176,212.50/243,375.12 = 116,052/x
  3. Step 3: Cross multiply
    176,212.50x = 243,375.12 × 116,052
  4. Step 4: Simplify right side
    176,212.50x = 28,244,169,426.24
  5. Step 5: Solve for x
    x = 28,244,169,426.24/176,212.50
  6. Step 6: Final answer
    x = 160,284.71

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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.