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Finding the Fourth Proportional to 242,924.26, 364,375.92 and 83,014.48

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Solution

The fourth proportional to 242,924.26, 364,375.92 and 83,014.48 is: 124,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,924.26 : 364,375.92 = 83,014.48 : x
  2. Step 2: Convert to fraction form
    242,924.26/364,375.92 = 83,014.48/x
  3. Step 3: Cross multiply
    242,924.26x = 364,375.92 × 83,014.48
  4. Step 4: Simplify right side
    242,924.26x = 30,248,477,523.32
  5. Step 5: Solve for x
    x = 30,248,477,523.32/242,924.26
  6. Step 6: Final answer
    x = 124,518.14

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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.