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Finding the Fourth Proportional to 242,154.72, 363,313.83 and 107,200.18

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Solution

The fourth proportional to 242,154.72, 363,313.83 and 107,200.18 is: 160,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,154.72 : 363,313.83 = 107,200.18 : x
  2. Step 2: Convert to fraction form
    242,154.72/363,313.83 = 107,200.18/x
  3. Step 3: Cross multiply
    242,154.72x = 363,313.83 × 107,200.18
  4. Step 4: Simplify right side
    242,154.72x = 38,947,305,619.92
  5. Step 5: Solve for x
    x = 38,947,305,619.92/242,154.72
  6. Step 6: Final answer
    x = 160,836.45

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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.