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Finding the Fourth Proportional to 208,562, 287,817.60 and 113,068.48

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Solution

The fourth proportional to 208,562, 287,817.60 and 113,068.48 is: 156,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562 : 287,817.60 = 113,068.48 : x
  2. Step 2: Convert to fraction form
    208,562/287,817.60 = 113,068.48/x
  3. Step 3: Cross multiply
    208,562x = 287,817.60 × 113,068.48
  4. Step 4: Simplify right side
    208,562x = 32,543,098,549.25
  5. Step 5: Solve for x
    x = 32,543,098,549.25/208,562
  6. Step 6: Final answer
    x = 156,035.61

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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.