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Finding the Fourth Proportional to 185,792.64, 256,392.72 and 100,908.96

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Solution

The fourth proportional to 185,792.64, 256,392.72 and 100,908.96 is: 139,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,792.64 : 256,392.72 = 100,908.96 : x
  2. Step 2: Convert to fraction form
    185,792.64/256,392.72 = 100,908.96/x
  3. Step 3: Cross multiply
    185,792.64x = 256,392.72 × 100,908.96
  4. Step 4: Simplify right side
    185,792.64x = 25,872,322,726.77
  5. Step 5: Solve for x
    x = 25,872,322,726.77/185,792.64
  6. Step 6: Final answer
    x = 139,253.75

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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.