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Finding the Fourth Proportional to 208,085.32, 287,156.82 and 112,593.70

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Solution

The fourth proportional to 208,085.32, 287,156.82 and 112,593.70 is: 155,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.32 : 287,156.82 = 112,593.70 : x
  2. Step 2: Convert to fraction form
    208,085.32/287,156.82 = 112,593.70/x
  3. Step 3: Cross multiply
    208,085.32x = 287,156.82 × 112,593.70
  4. Step 4: Simplify right side
    208,085.32x = 32,332,048,844.03
  5. Step 5: Solve for x
    x = 32,332,048,844.03/208,085.32
  6. Step 6: Final answer
    x = 155,378.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.