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Finding the Fourth Proportional to 230,756.49, 346,020.71 and 70,794.14

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Solution

The fourth proportional to 230,756.49, 346,020.71 and 70,794.14 is: 106,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,756.49 : 346,020.71 = 70,794.14 : x
  2. Step 2: Convert to fraction form
    230,756.49/346,020.71 = 70,794.14/x
  3. Step 3: Cross multiply
    230,756.49x = 346,020.71 × 70,794.14
  4. Step 4: Simplify right side
    230,756.49x = 24,496,239,097.72
  5. Step 5: Solve for x
    x = 24,496,239,097.72/230,756.49
  6. Step 6: Final answer
    x = 106,156.23

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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.