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Finding the Fourth Proportional to 250,942.86, 346,301.73 and 137,772.90

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Solution

The fourth proportional to 250,942.86, 346,301.73 and 137,772.90 is: 190,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,942.86 : 346,301.73 = 137,772.90 : x
  2. Step 2: Convert to fraction form
    250,942.86/346,301.73 = 137,772.90/x
  3. Step 3: Cross multiply
    250,942.86x = 346,301.73 × 137,772.90
  4. Step 4: Simplify right side
    250,942.86x = 47,710,993,617.12
  5. Step 5: Solve for x
    x = 47,710,993,617.12/250,942.86
  6. Step 6: Final answer
    x = 190,126.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.