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Finding the Fourth Proportional to 199,778, 275,693.64 and 110,354

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Solution

The fourth proportional to 199,778, 275,693.64 and 110,354 is: 152,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,778 : 275,693.64 = 110,354 : x
  2. Step 2: Convert to fraction form
    199,778/275,693.64 = 110,354/x
  3. Step 3: Cross multiply
    199,778x = 275,693.64 × 110,354
  4. Step 4: Simplify right side
    199,778x = 30,423,895,948.56
  5. Step 5: Solve for x
    x = 30,423,895,948.56/199,778
  6. Step 6: Final answer
    x = 152,288.52

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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.