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Finding the Fourth Proportional to 269,394.80, 371,767.74 and 148,536.32

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Solution

The fourth proportional to 269,394.80, 371,767.74 and 148,536.32 is: 204,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,394.80 : 371,767.74 = 148,536.32 : x
  2. Step 2: Convert to fraction form
    269,394.80/371,767.74 = 148,536.32/x
  3. Step 3: Cross multiply
    269,394.80x = 371,767.74 × 148,536.32
  4. Step 4: Simplify right side
    269,394.80x = 55,221,011,994.32
  5. Step 5: Solve for x
    x = 55,221,011,994.32/269,394.80
  6. Step 6: Final answer
    x = 204,981.73

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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.