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Finding the Fourth Proportional to 242,950.32, 364,468.23 and 82,988.64

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Solution

The fourth proportional to 242,950.32, 364,468.23 and 82,988.64 is: 124,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,950.32 : 364,468.23 = 82,988.64 : x
  2. Step 2: Convert to fraction form
    242,950.32/364,468.23 = 82,988.64/x
  3. Step 3: Cross multiply
    242,950.32x = 364,468.23 × 82,988.64
  4. Step 4: Simplify right side
    242,950.32x = 30,246,722,730.91
  5. Step 5: Solve for x
    x = 30,246,722,730.91/242,950.32
  6. Step 6: Final answer
    x = 124,497.56

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1.5x scale

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.