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Finding the Fourth Proportional to 242,145.46, 363,276.54 and 75,933.46

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Solution

The fourth proportional to 242,145.46, 363,276.54 and 75,933.46 is: 113,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,145.46 : 363,276.54 = 75,933.46 : x
  2. Step 2: Convert to fraction form
    242,145.46/363,276.54 = 75,933.46/x
  3. Step 3: Cross multiply
    242,145.46x = 363,276.54 × 75,933.46
  4. Step 4: Simplify right side
    242,145.46x = 27,584,844,619.03
  5. Step 5: Solve for x
    x = 27,584,844,619.03/242,145.46
  6. Step 6: Final answer
    x = 113,918.49

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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.