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Finding the Fourth Proportional to 205,937.44, 284,178.07 and 125,356.01

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Solution

The fourth proportional to 205,937.44, 284,178.07 and 125,356.01 is: 172,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,937.44 : 284,178.07 = 125,356.01 : x
  2. Step 2: Convert to fraction form
    205,937.44/284,178.07 = 125,356.01/x
  3. Step 3: Cross multiply
    205,937.44x = 284,178.07 × 125,356.01
  4. Step 4: Simplify right side
    205,937.44x = 35,623,427,720.51
  5. Step 5: Solve for x
    x = 35,623,427,720.51/205,937.44
  6. Step 6: Final answer
    x = 172,981.80

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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.