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Finding the Fourth Proportional to 205,930, 284,188.14 and 115,283.68

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Solution

The fourth proportional to 205,930, 284,188.14 and 115,283.68 is: 159,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,930 : 284,188.14 = 115,283.68 : x
  2. Step 2: Convert to fraction form
    205,930/284,188.14 = 115,283.68/x
  3. Step 3: Cross multiply
    205,930x = 284,188.14 × 115,283.68
  4. Step 4: Simplify right side
    205,930x = 32,762,254,591.56
  5. Step 5: Solve for x
    x = 32,762,254,591.56/205,930
  6. Step 6: Final answer
    x = 159,094.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.