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Finding the Fourth Proportional to 175,906.08, 242,747.28 and 100,444.32

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Solution

The fourth proportional to 175,906.08, 242,747.28 and 100,444.32 is: 138,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,906.08 : 242,747.28 = 100,444.32 : x
  2. Step 2: Convert to fraction form
    175,906.08/242,747.28 = 100,444.32/x
  3. Step 3: Cross multiply
    175,906.08x = 242,747.28 × 100,444.32
  4. Step 4: Simplify right side
    175,906.08x = 24,382,585,471.45
  5. Step 5: Solve for x
    x = 24,382,585,471.45/175,906.08
  6. Step 6: Final answer
    x = 138,611.39

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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.