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Finding the Fourth Proportional to 176,213.50, 243,376.50 and 116,053

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Solution

The fourth proportional to 176,213.50, 243,376.50 and 116,053 is: 160,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,213.50 : 243,376.50 = 116,053 : x
  2. Step 2: Convert to fraction form
    176,213.50/243,376.50 = 116,053/x
  3. Step 3: Cross multiply
    176,213.50x = 243,376.50 × 116,053
  4. Step 4: Simplify right side
    176,213.50x = 28,244,572,954.50
  5. Step 5: Solve for x
    x = 28,244,572,954.50/176,213.50
  6. Step 6: Final answer
    x = 160,286.09

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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.