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Finding the Fourth Proportional to 205,248.34, 283,247.52 and 114,601.24

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Solution

The fourth proportional to 205,248.34, 283,247.52 and 114,601.24 is: 158,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248.34 : 283,247.52 = 114,601.24 : x
  2. Step 2: Convert to fraction form
    205,248.34/283,247.52 = 114,601.24/x
  3. Step 3: Cross multiply
    205,248.34x = 283,247.52 × 114,601.24
  4. Step 4: Simplify right side
    205,248.34x = 32,460,517,018.92
  5. Step 5: Solve for x
    x = 32,460,517,018.92/205,248.34
  6. Step 6: Final answer
    x = 158,152.40

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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.