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Finding the Fourth Proportional to 208,082.94, 287,448.42 and 165,587.10

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Solution

The fourth proportional to 208,082.94, 287,448.42 and 165,587.10 is: 228,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.94 : 287,448.42 = 165,587.10 : x
  2. Step 2: Convert to fraction form
    208,082.94/287,448.42 = 165,587.10/x
  3. Step 3: Cross multiply
    208,082.94x = 287,448.42 × 165,587.10
  4. Step 4: Simplify right side
    208,082.94x = 47,597,750,267.38
  5. Step 5: Solve for x
    x = 47,597,750,267.38/208,082.94
  6. Step 6: Final answer
    x = 228,744.13

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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.