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Finding the Fourth Proportional to 255,252.54, 382,934.16 and 77,754.90

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Solution

The fourth proportional to 255,252.54, 382,934.16 and 77,754.90 is: 116,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,252.54 : 382,934.16 = 77,754.90 : x
  2. Step 2: Convert to fraction form
    255,252.54/382,934.16 = 77,754.90/x
  3. Step 3: Cross multiply
    255,252.54x = 382,934.16 × 77,754.90
  4. Step 4: Simplify right side
    255,252.54x = 29,775,007,317.38
  5. Step 5: Solve for x
    x = 29,775,007,317.38/255,252.54
  6. Step 6: Final answer
    x = 116,649.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.