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Finding the Fourth Proportional to 185,792.27, 256,399.38 and 105,218.06

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Solution

The fourth proportional to 185,792.27, 256,399.38 and 105,218.06 is: 145,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792.27 : 256,399.38 = 105,218.06 : x
  2. Step 2: Convert to fraction form
    185,792.27/256,399.38 = 105,218.06/x
  3. Step 3: Cross multiply
    185,792.27x = 256,399.38 × 105,218.06
  4. Step 4: Simplify right side
    185,792.27x = 26,977,844,066.81
  5. Step 5: Solve for x
    x = 26,977,844,066.81/185,792.27
  6. Step 6: Final answer
    x = 145,204.34

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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.