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Finding the Fourth Proportional to 255,222.06, 382,722.14 and 77,687.48

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Solution

The fourth proportional to 255,222.06, 382,722.14 and 77,687.48 is: 116,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222.06 : 382,722.14 = 77,687.48 : x
  2. Step 2: Convert to fraction form
    255,222.06/382,722.14 = 77,687.48/x
  3. Step 3: Cross multiply
    255,222.06x = 382,722.14 × 77,687.48
  4. Step 4: Simplify right side
    255,222.06x = 29,732,716,294.76
  5. Step 5: Solve for x
    x = 29,732,716,294.76/255,222.06
  6. Step 6: Final answer
    x = 116,497.44

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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.