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Finding the Fourth Proportional to 268,809.42, 370,954.17 and 147,948.12

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Solution

The fourth proportional to 268,809.42, 370,954.17 and 147,948.12 is: 204,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,809.42 : 370,954.17 = 147,948.12 : x
  2. Step 2: Convert to fraction form
    268,809.42/370,954.17 = 147,948.12/x
  3. Step 3: Cross multiply
    268,809.42x = 370,954.17 × 147,948.12
  4. Step 4: Simplify right side
    268,809.42x = 54,881,972,057.66
  5. Step 5: Solve for x
    x = 54,881,972,057.66/268,809.42
  6. Step 6: Final answer
    x = 204,166.85

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1.5x scale

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.