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Finding the Fourth Proportional to 185,792.27, 256,384.73 and 105,220.37

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Solution

The fourth proportional to 185,792.27, 256,384.73 and 105,220.37 is: 145,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792.27 : 256,384.73 = 105,220.37 : x
  2. Step 2: Convert to fraction form
    185,792.27/256,384.73 = 105,220.37/x
  3. Step 3: Cross multiply
    185,792.27x = 256,384.73 × 105,220.37
  4. Step 4: Simplify right side
    185,792.27x = 26,976,894,871.03
  5. Step 5: Solve for x
    x = 26,976,894,871.03/185,792.27
  6. Step 6: Final answer
    x = 145,199.24

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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.