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Finding the Fourth Proportional to 208,567.44, 287,822.16 and 113,073.84

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Solution

The fourth proportional to 208,567.44, 287,822.16 and 113,073.84 is: 156,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.44 : 287,822.16 = 113,073.84 : x
  2. Step 2: Convert to fraction form
    208,567.44/287,822.16 = 113,073.84/x
  3. Step 3: Cross multiply
    208,567.44x = 287,822.16 × 113,073.84
  4. Step 4: Simplify right side
    208,567.44x = 32,545,156,868.29
  5. Step 5: Solve for x
    x = 32,545,156,868.29/208,567.44
  6. Step 6: Final answer
    x = 156,041.41

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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.