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Finding the Fourth Proportional to 285,308.84, 393,728.10 and 157,992.68

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Solution

The fourth proportional to 285,308.84, 393,728.10 and 157,992.68 is: 218,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308.84 : 393,728.10 = 157,992.68 : x
  2. Step 2: Convert to fraction form
    285,308.84/393,728.10 = 157,992.68/x
  3. Step 3: Cross multiply
    285,308.84x = 393,728.10 × 157,992.68
  4. Step 4: Simplify right side
    285,308.84x = 62,206,157,710.31
  5. Step 5: Solve for x
    x = 62,206,157,710.31/285,308.84
  6. Step 6: Final answer
    x = 218,030.95

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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.