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Finding the Fourth Proportional to 208,285.35, 287,434.70 and 112,792.15

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Solution

The fourth proportional to 208,285.35, 287,434.70 and 112,792.15 is: 155,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,285.35 : 287,434.70 = 112,792.15 : x
  2. Step 2: Convert to fraction form
    208,285.35/287,434.70 = 112,792.15/x
  3. Step 3: Cross multiply
    208,285.35x = 287,434.70 × 112,792.15
  4. Step 4: Simplify right side
    208,285.35x = 32,420,377,797.61
  5. Step 5: Solve for x
    x = 32,420,377,797.61/208,285.35
  6. Step 6: Final answer
    x = 155,653.66

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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.