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Finding the Fourth Proportional to 228,436.34, 342,279.97 and 161,756.76

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Solution

The fourth proportional to 228,436.34, 342,279.97 and 161,756.76 is: 242,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,436.34 : 342,279.97 = 161,756.76 : x
  2. Step 2: Convert to fraction form
    228,436.34/342,279.97 = 161,756.76/x
  3. Step 3: Cross multiply
    228,436.34x = 342,279.97 × 161,756.76
  4. Step 4: Simplify right side
    228,436.34x = 55,366,098,151.31
  5. Step 5: Solve for x
    x = 55,366,098,151.31/228,436.34
  6. Step 6: Final answer
    x = 242,369.93

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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.