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Finding the Fourth Proportional to 242,263.41, 363,367.43 and 64,784.25

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Solution

The fourth proportional to 242,263.41, 363,367.43 and 64,784.25 is: 97,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,263.41 : 363,367.43 = 64,784.25 : x
  2. Step 2: Convert to fraction form
    242,263.41/363,367.43 = 64,784.25/x
  3. Step 3: Cross multiply
    242,263.41x = 363,367.43 × 64,784.25
  4. Step 4: Simplify right side
    242,263.41x = 23,540,486,426.98
  5. Step 5: Solve for x
    x = 23,540,486,426.98/242,263.41
  6. Step 6: Final answer
    x = 97,168.97

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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.