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Finding the Fourth Proportional to 125,501.69, 188,254.78 and 45,596.40

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Solution

The fourth proportional to 125,501.69, 188,254.78 and 45,596.40 is: 68,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,501.69 : 188,254.78 = 45,596.40 : x
  2. Step 2: Convert to fraction form
    125,501.69/188,254.78 = 45,596.40/x
  3. Step 3: Cross multiply
    125,501.69x = 188,254.78 × 45,596.40
  4. Step 4: Simplify right side
    125,501.69x = 8,583,741,099.24
  5. Step 5: Solve for x
    x = 8,583,741,099.24/125,501.69
  6. Step 6: Final answer
    x = 68,395.42

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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.