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Finding the Fourth Proportional to 255,894.11, 353,019.65 and 148,401.84

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Solution

The fourth proportional to 255,894.11, 353,019.65 and 148,401.84 is: 204,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,894.11 : 353,019.65 = 148,401.84 : x
  2. Step 2: Convert to fraction form
    255,894.11/353,019.65 = 148,401.84/x
  3. Step 3: Cross multiply
    255,894.11x = 353,019.65 × 148,401.84
  4. Step 4: Simplify right side
    255,894.11x = 52,388,765,616.16
  5. Step 5: Solve for x
    x = 52,388,765,616.16/255,894.11
  6. Step 6: Final answer
    x = 204,728.30

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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.