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Finding the Fourth Proportional to 230,942.32, 346,435.56 and 64,729.84

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Solution

The fourth proportional to 230,942.32, 346,435.56 and 64,729.84 is: 97,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,942.32 : 346,435.56 = 64,729.84 : x
  2. Step 2: Convert to fraction form
    230,942.32/346,435.56 = 64,729.84/x
  3. Step 3: Cross multiply
    230,942.32x = 346,435.56 × 64,729.84
  4. Step 4: Simplify right side
    230,942.32x = 22,424,718,369.11
  5. Step 5: Solve for x
    x = 22,424,718,369.11/230,942.32
  6. Step 6: Final answer
    x = 97,100.95

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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.