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Finding the Fourth Proportional to 268,792.47, 370,926.81 and 146,279.64

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Solution

The fourth proportional to 268,792.47, 370,926.81 and 146,279.64 is: 201,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,792.47 : 370,926.81 = 146,279.64 : x
  2. Step 2: Convert to fraction form
    268,792.47/370,926.81 = 146,279.64/x
  3. Step 3: Cross multiply
    268,792.47x = 370,926.81 × 146,279.64
  4. Step 4: Simplify right side
    268,792.47x = 54,259,040,233.15
  5. Step 5: Solve for x
    x = 54,259,040,233.15/268,792.47
  6. Step 6: Final answer
    x = 201,862.20

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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.