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Finding the Fourth Proportional to 203,953.92, 281,454.72 and 114,528

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Solution

The fourth proportional to 203,953.92, 281,454.72 and 114,528 is: 158,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,953.92 : 281,454.72 = 114,528 : x
  2. Step 2: Convert to fraction form
    203,953.92/281,454.72 = 114,528/x
  3. Step 3: Cross multiply
    203,953.92x = 281,454.72 × 114,528
  4. Step 4: Simplify right side
    203,953.92x = 32,234,446,172.16
  5. Step 5: Solve for x
    x = 32,234,446,172.16/203,953.92
  6. Step 6: Final answer
    x = 158,047.69

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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.