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Finding the Fourth Proportional to 285,258.38, 393,662.57 and 156,202.29

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Solution

The fourth proportional to 285,258.38, 393,662.57 and 156,202.29 is: 215,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,258.38 : 393,662.57 = 156,202.29 : x
  2. Step 2: Convert to fraction form
    285,258.38/393,662.57 = 156,202.29/x
  3. Step 3: Cross multiply
    285,258.38x = 393,662.57 × 156,202.29
  4. Step 4: Simplify right side
    285,258.38x = 61,490,994,140.27
  5. Step 5: Solve for x
    x = 61,490,994,140.27/285,258.38
  6. Step 6: Final answer
    x = 215,562.45

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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.