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Finding the Fourth Proportional to 285,153.54, 393,506.01 and 157,821.54

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Solution

The fourth proportional to 285,153.54, 393,506.01 and 157,821.54 is: 217,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,153.54 : 393,506.01 = 157,821.54 : x
  2. Step 2: Convert to fraction form
    285,153.54/393,506.01 = 157,821.54/x
  3. Step 3: Cross multiply
    285,153.54x = 393,506.01 × 157,821.54
  4. Step 4: Simplify right side
    285,153.54x = 62,103,724,497.46
  5. Step 5: Solve for x
    x = 62,103,724,497.46/285,153.54
  6. Step 6: Final answer
    x = 217,790.47

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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.