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Finding the Fourth Proportional to 208,026.38, 287,075.54 and 112,532.84

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Solution

The fourth proportional to 208,026.38, 287,075.54 and 112,532.84 is: 155,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.38 : 287,075.54 = 112,532.84 : x
  2. Step 2: Convert to fraction form
    208,026.38/287,075.54 = 112,532.84/x
  3. Step 3: Cross multiply
    208,026.38x = 287,075.54 × 112,532.84
  4. Step 4: Simplify right side
    208,026.38x = 32,305,425,810.73
  5. Step 5: Solve for x
    x = 32,305,425,810.73/208,026.38
  6. Step 6: Final answer
    x = 155,294.85

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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.