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Finding the Fourth Proportional to 285,105.16, 393,457.47 and 157,780.80

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Solution

The fourth proportional to 285,105.16, 393,457.47 and 157,780.80 is: 217,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,105.16 : 393,457.47 = 157,780.80 : x
  2. Step 2: Convert to fraction form
    285,105.16/393,457.47 = 157,780.80/x
  3. Step 3: Cross multiply
    285,105.16x = 393,457.47 × 157,780.80
  4. Step 4: Simplify right side
    285,105.16x = 62,080,034,382.58
  5. Step 5: Solve for x
    x = 62,080,034,382.58/285,105.16
  6. Step 6: Final answer
    x = 217,744.34

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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.