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Finding the Fourth Proportional to 205,875.68, 284,113.48 and 115,230.88

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Solution

The fourth proportional to 205,875.68, 284,113.48 and 115,230.88 is: 159,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875.68 : 284,113.48 = 115,230.88 : x
  2. Step 2: Convert to fraction form
    205,875.68/284,113.48 = 115,230.88/x
  3. Step 3: Cross multiply
    205,875.68x = 284,113.48 × 115,230.88
  4. Step 4: Simplify right side
    205,875.68x = 32,738,646,320.26
  5. Step 5: Solve for x
    x = 32,738,646,320.26/205,875.68
  6. Step 6: Final answer
    x = 159,021.44

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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.