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Finding the Fourth Proportional to 230,980.86, 346,472.14 and 71,055.69

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Solution

The fourth proportional to 230,980.86, 346,472.14 and 71,055.69 is: 106,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,980.86 : 346,472.14 = 71,055.69 : x
  2. Step 2: Convert to fraction form
    230,980.86/346,472.14 = 71,055.69/x
  3. Step 3: Cross multiply
    230,980.86x = 346,472.14 × 71,055.69
  4. Step 4: Simplify right side
    230,980.86x = 24,618,816,973.48
  5. Step 5: Solve for x
    x = 24,618,816,973.48/230,980.86
  6. Step 6: Final answer
    x = 106,583.80

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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.