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Finding the Fourth Proportional to 208,476.02, 287,697.93 and 112,982.71

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Solution

The fourth proportional to 208,476.02, 287,697.93 and 112,982.71 is: 155,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,476.02 : 287,697.93 = 112,982.71 : x
  2. Step 2: Convert to fraction form
    208,476.02/287,697.93 = 112,982.71/x
  3. Step 3: Cross multiply
    208,476.02x = 287,697.93 × 112,982.71
  4. Step 4: Simplify right side
    208,476.02x = 32,504,891,792.79
  5. Step 5: Solve for x
    x = 32,504,891,792.79/208,476.02
  6. Step 6: Final answer
    x = 155,916.69

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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.