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Finding the Fourth Proportional to 124,188.50, 186,284.46 and 35,441.98

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Solution

The fourth proportional to 124,188.50, 186,284.46 and 35,441.98 is: 53,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,188.50 : 186,284.46 = 35,441.98 : x
  2. Step 2: Convert to fraction form
    124,188.50/186,284.46 = 35,441.98/x
  3. Step 3: Cross multiply
    124,188.50x = 186,284.46 × 35,441.98
  4. Step 4: Simplify right side
    124,188.50x = 6,602,290,105.63
  5. Step 5: Solve for x
    x = 6,602,290,105.63/124,188.50
  6. Step 6: Final answer
    x = 53,163.46

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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.