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Finding the Fourth Proportional to 117,792.08, 176,717.28 and 55,448

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Solution

The fourth proportional to 117,792.08, 176,717.28 and 55,448 is: 83,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792.08 : 176,717.28 = 55,448 : x
  2. Step 2: Convert to fraction form
    117,792.08/176,717.28 = 55,448/x
  3. Step 3: Cross multiply
    117,792.08x = 176,717.28 × 55,448
  4. Step 4: Simplify right side
    117,792.08x = 9,798,619,741.44
  5. Step 5: Solve for x
    x = 9,798,619,741.44/117,792.08
  6. Step 6: Final answer
    x = 83,185.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.