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Finding the Fourth Proportional to 136,465.66, 188,323.87 and 75,214.03

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Solution

The fourth proportional to 136,465.66, 188,323.87 and 75,214.03 is: 103,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,465.66 : 188,323.87 = 75,214.03 : x
  2. Step 2: Convert to fraction form
    136,465.66/188,323.87 = 75,214.03/x
  3. Step 3: Cross multiply
    136,465.66x = 188,323.87 × 75,214.03
  4. Step 4: Simplify right side
    136,465.66x = 14,164,597,395.93
  5. Step 5: Solve for x
    x = 14,164,597,395.93/136,465.66
  6. Step 6: Final answer
    x = 103,796.06

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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.