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Finding the Fourth Proportional to 288,202.15, 397,702.47 and 160,885.81

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Solution

The fourth proportional to 288,202.15, 397,702.47 and 160,885.81 is: 222,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,202.15 : 397,702.47 = 160,885.81 : x
  2. Step 2: Convert to fraction form
    288,202.15/397,702.47 = 160,885.81/x
  3. Step 3: Cross multiply
    288,202.15x = 397,702.47 × 160,885.81
  4. Step 4: Simplify right side
    288,202.15x = 63,984,684,024.95
  5. Step 5: Solve for x
    x = 63,984,684,024.95/288,202.15
  6. Step 6: Final answer
    x = 222,013.21

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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.