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Finding the Fourth Proportional to 125,583.42, 188,190.81 and 63,168.06

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Solution

The fourth proportional to 125,583.42, 188,190.81 and 63,168.06 is: 94,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,583.42 : 188,190.81 = 63,168.06 : x
  2. Step 2: Convert to fraction form
    125,583.42/188,190.81 = 63,168.06/x
  3. Step 3: Cross multiply
    125,583.42x = 188,190.81 × 63,168.06
  4. Step 4: Simplify right side
    125,583.42x = 11,887,648,377.53
  5. Step 5: Solve for x
    x = 11,887,648,377.53/125,583.42
  6. Step 6: Final answer
    x = 94,659.38

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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.