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Finding the Fourth Proportional to 125,527.88, 188,293.34 and 36,783.18

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Solution

The fourth proportional to 125,527.88, 188,293.34 and 36,783.18 is: 55,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,527.88 : 188,293.34 = 36,783.18 : x
  2. Step 2: Convert to fraction form
    125,527.88/188,293.34 = 36,783.18/x
  3. Step 3: Cross multiply
    125,527.88x = 188,293.34 × 36,783.18
  4. Step 4: Simplify right side
    125,527.88x = 6,926,028,288.75
  5. Step 5: Solve for x
    x = 6,926,028,288.75/125,527.88
  6. Step 6: Final answer
    x = 55,175.22

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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.