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Finding the Fourth Proportional to 208,082.01, 287,154.16 and 117,441.80

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Solution

The fourth proportional to 208,082.01, 287,154.16 and 117,441.80 is: 162,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.01 : 287,154.16 = 117,441.80 : x
  2. Step 2: Convert to fraction form
    208,082.01/287,154.16 = 117,441.80/x
  3. Step 3: Cross multiply
    208,082.01x = 287,154.16 × 117,441.80
  4. Step 4: Simplify right side
    208,082.01x = 33,723,901,435.95
  5. Step 5: Solve for x
    x = 33,723,901,435.95/208,082.01
  6. Step 6: Final answer
    x = 162,070.24

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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.