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Finding the Fourth Proportional to 208,082.46, 287,152.98 and 112,589.22

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Solution

The fourth proportional to 208,082.46, 287,152.98 and 112,589.22 is: 155,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.46 : 287,152.98 = 112,589.22 : x
  2. Step 2: Convert to fraction form
    208,082.46/287,152.98 = 112,589.22/x
  3. Step 3: Cross multiply
    208,082.46x = 287,152.98 × 112,589.22
  4. Step 4: Simplify right side
    208,082.46x = 32,330,330,038.88
  5. Step 5: Solve for x
    x = 32,330,330,038.88/208,082.46
  6. Step 6: Final answer
    x = 155,372.68

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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.