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Finding the Fourth Proportional to 255,263.54, 382,952.41 and 77,784.44

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Solution

The fourth proportional to 255,263.54, 382,952.41 and 77,784.44 is: 116,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,263.54 : 382,952.41 = 77,784.44 : x
  2. Step 2: Convert to fraction form
    255,263.54/382,952.41 = 77,784.44/x
  3. Step 3: Cross multiply
    255,263.54x = 382,952.41 × 77,784.44
  4. Step 4: Simplify right side
    255,263.54x = 29,787,736,649.28
  5. Step 5: Solve for x
    x = 29,787,736,649.28/255,263.54
  6. Step 6: Final answer
    x = 116,694.05

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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.