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Finding the Fourth Proportional to 175,792, 242,593.12 and 100,338.88

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Solution

The fourth proportional to 175,792, 242,593.12 and 100,338.88 is: 138,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,792 : 242,593.12 = 100,338.88 : x
  2. Step 2: Convert to fraction form
    175,792/242,593.12 = 100,338.88/x
  3. Step 3: Cross multiply
    175,792x = 242,593.12 × 100,338.88
  4. Step 4: Simplify right side
    175,792x = 24,341,521,956.51
  5. Step 5: Solve for x
    x = 24,341,521,956.51/175,792
  6. Step 6: Final answer
    x = 138,467.75

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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.