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Finding the Fourth Proportional to 268,782.90, 370,920.47 and 147,924.15

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Solution

The fourth proportional to 268,782.90, 370,920.47 and 147,924.15 is: 204,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,782.90 : 370,920.47 = 147,924.15 : x
  2. Step 2: Convert to fraction form
    268,782.90/370,920.47 = 147,924.15/x
  3. Step 3: Cross multiply
    268,782.90x = 370,920.47 × 147,924.15
  4. Step 4: Simplify right side
    268,782.90x = 54,868,094,502.73
  5. Step 5: Solve for x
    x = 54,868,094,502.73/268,782.90
  6. Step 6: Final answer
    x = 204,135.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.