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Finding the Fourth Proportional to 185,792.24, 256,349.36 and 109,314.66

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Solution

The fourth proportional to 185,792.24, 256,349.36 and 109,314.66 is: 150,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792.24 : 256,349.36 = 109,314.66 : x
  2. Step 2: Convert to fraction form
    185,792.24/256,349.36 = 109,314.66/x
  3. Step 3: Cross multiply
    185,792.24x = 256,349.36 × 109,314.66
  4. Step 4: Simplify right side
    185,792.24x = 28,022,742,583.04
  5. Step 5: Solve for x
    x = 28,022,742,583.04/185,792.24
  6. Step 6: Final answer
    x = 150,828.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.