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Finding the Fourth Proportional to 242,783.65, 364,217.00 and 74,286.41

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Solution

The fourth proportional to 242,783.65, 364,217.00 and 74,286.41 is: 111,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,783.65 : 364,217.00 = 74,286.41 : x
  2. Step 2: Convert to fraction form
    242,783.65/364,217.00 = 74,286.41/x
  3. Step 3: Cross multiply
    242,783.65x = 364,217.00 × 74,286.41
  4. Step 4: Simplify right side
    242,783.65x = 27,056,373,356.71
  5. Step 5: Solve for x
    x = 27,056,373,356.71/242,783.65
  6. Step 6: Final answer
    x = 111,442.32

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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.