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Finding the Fourth Proportional to 176,381.76, 243,313.52 and 111,736.96

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Solution

The fourth proportional to 176,381.76, 243,313.52 and 111,736.96 is: 154,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,381.76 : 243,313.52 = 111,736.96 : x
  2. Step 2: Convert to fraction form
    176,381.76/243,313.52 = 111,736.96/x
  3. Step 3: Cross multiply
    176,381.76x = 243,313.52 × 111,736.96
  4. Step 4: Simplify right side
    176,381.76x = 27,187,113,051.70
  5. Step 5: Solve for x
    x = 27,187,113,051.70/176,381.76
  6. Step 6: Final answer
    x = 154,137.89

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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.