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Finding the Fourth Proportional to 205,344.76, 283,372.76 and 114,702.08

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Solution

The fourth proportional to 205,344.76, 283,372.76 and 114,702.08 is: 158,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,344.76 : 283,372.76 = 114,702.08 : x
  2. Step 2: Convert to fraction form
    205,344.76/283,372.76 = 114,702.08/x
  3. Step 3: Cross multiply
    205,344.76x = 283,372.76 × 114,702.08
  4. Step 4: Simplify right side
    205,344.76x = 32,503,444,987.34
  5. Step 5: Solve for x
    x = 32,503,444,987.34/205,344.76
  6. Step 6: Final answer
    x = 158,287.19

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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.