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Finding the Fourth Proportional to 255,067.80, 382,601.70 and 242,237.40

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Solution

The fourth proportional to 255,067.80, 382,601.70 and 242,237.40 is: 363,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,067.80 : 382,601.70 = 242,237.40 : x
  2. Step 2: Convert to fraction form
    255,067.80/382,601.70 = 242,237.40/x
  3. Step 3: Cross multiply
    255,067.80x = 382,601.70 × 242,237.40
  4. Step 4: Simplify right side
    255,067.80x = 92,680,441,043.58
  5. Step 5: Solve for x
    x = 92,680,441,043.58/255,067.80
  6. Step 6: Final answer
    x = 363,356.10

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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.