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Finding the Fourth Proportional to 242,954.13, 364,439.76 and 65,465.42

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Solution

The fourth proportional to 242,954.13, 364,439.76 and 65,465.42 is: 98,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,954.13 : 364,439.76 = 65,465.42 : x
  2. Step 2: Convert to fraction form
    242,954.13/364,439.76 = 65,465.42/x
  3. Step 3: Cross multiply
    242,954.13x = 364,439.76 × 65,465.42
  4. Step 4: Simplify right side
    242,954.13x = 23,858,199,885.41
  5. Step 5: Solve for x
    x = 23,858,199,885.41/242,954.13
  6. Step 6: Final answer
    x = 98,200.43

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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.