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Finding the Fourth Proportional to 200,645.52, 276,792.84 and 168,802.80

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Solution

The fourth proportional to 200,645.52, 276,792.84 and 168,802.80 is: 232,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,645.52 : 276,792.84 = 168,802.80 : x
  2. Step 2: Convert to fraction form
    200,645.52/276,792.84 = 168,802.80/x
  3. Step 3: Cross multiply
    200,645.52x = 276,792.84 × 168,802.80
  4. Step 4: Simplify right side
    200,645.52x = 46,723,406,411.95
  5. Step 5: Solve for x
    x = 46,723,406,411.95/200,645.52
  6. Step 6: Final answer
    x = 232,865.44

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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.