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Finding the Fourth Proportional to 242,646.60, 364,069.86 and 100,520.49

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Solution

The fourth proportional to 242,646.60, 364,069.86 and 100,520.49 is: 150,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,646.60 : 364,069.86 = 100,520.49 : x
  2. Step 2: Convert to fraction form
    242,646.60/364,069.86 = 100,520.49/x
  3. Step 3: Cross multiply
    242,646.60x = 364,069.86 × 100,520.49
  4. Step 4: Simplify right side
    242,646.60x = 36,596,480,721.43
  5. Step 5: Solve for x
    x = 36,596,480,721.43/242,646.60
  6. Step 6: Final answer
    x = 150,822.15

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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.