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Finding the Fourth Proportional to 163,908.66, 226,153.70 and 100,223.22

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Solution

The fourth proportional to 163,908.66, 226,153.70 and 100,223.22 is: 138,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,908.66 : 226,153.70 = 100,223.22 : x
  2. Step 2: Convert to fraction form
    163,908.66/226,153.70 = 100,223.22/x
  3. Step 3: Cross multiply
    163,908.66x = 226,153.70 × 100,223.22
  4. Step 4: Simplify right side
    163,908.66x = 22,665,852,028.91
  5. Step 5: Solve for x
    x = 22,665,852,028.91/163,908.66
  6. Step 6: Final answer
    x = 138,283.43

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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.