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Finding the Fourth Proportional to 242,693.20, 364,039.80 and 148,214.80

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Solution

The fourth proportional to 242,693.20, 364,039.80 and 148,214.80 is: 222,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,693.20 : 364,039.80 = 148,214.80 : x
  2. Step 2: Convert to fraction form
    242,693.20/364,039.80 = 148,214.80/x
  3. Step 3: Cross multiply
    242,693.20x = 364,039.80 × 148,214.80
  4. Step 4: Simplify right side
    242,693.20x = 53,956,086,149.04
  5. Step 5: Solve for x
    x = 53,956,086,149.04/242,693.20
  6. Step 6: Final answer
    x = 222,322.20

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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.