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Finding the Fourth Proportional to 185,792.49, 256,349.70 and 109,314.91

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Solution

The fourth proportional to 185,792.49, 256,349.70 and 109,314.91 is: 150,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792.49 : 256,349.70 = 109,314.91 : x
  2. Step 2: Convert to fraction form
    185,792.49/256,349.70 = 109,314.91/x
  3. Step 3: Cross multiply
    185,792.49x = 256,349.70 × 109,314.91
  4. Step 4: Simplify right side
    185,792.49x = 28,022,844,384.03
  5. Step 5: Solve for x
    x = 28,022,844,384.03/185,792.49
  6. Step 6: Final answer
    x = 150,828.73

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1.5x scale

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.