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Finding the Fourth Proportional to 250,947.86, 346,308.64 and 137,777.90

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Solution

The fourth proportional to 250,947.86, 346,308.64 and 137,777.90 is: 190,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,947.86 : 346,308.64 = 137,777.90 : x
  2. Step 2: Convert to fraction form
    250,947.86/346,308.64 = 137,777.90/x
  3. Step 3: Cross multiply
    250,947.86x = 346,308.64 × 137,777.90
  4. Step 4: Simplify right side
    250,947.86x = 47,713,677,171.06
  5. Step 5: Solve for x
    x = 47,713,677,171.06/250,947.86
  6. Step 6: Final answer
    x = 190,133.83

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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.