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Finding the Fourth Proportional to 205,923.46, 284,160.46 and 114,036.14

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Solution

The fourth proportional to 205,923.46, 284,160.46 and 114,036.14 is: 157,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,923.46 : 284,160.46 = 114,036.14 : x
  2. Step 2: Convert to fraction form
    205,923.46/284,160.46 = 114,036.14/x
  3. Step 3: Cross multiply
    205,923.46x = 284,160.46 × 114,036.14
  4. Step 4: Simplify right side
    205,923.46x = 32,404,561,999.02
  5. Step 5: Solve for x
    x = 32,404,561,999.02/205,923.46
  6. Step 6: Final answer
    x = 157,362.17

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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.