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Finding the Fourth Proportional to 125,544.96, 188,288.64 and 74,958.24

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Solution

The fourth proportional to 125,544.96, 188,288.64 and 74,958.24 is: 112,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,544.96 : 188,288.64 = 74,958.24 : x
  2. Step 2: Convert to fraction form
    125,544.96/188,288.64 = 74,958.24/x
  3. Step 3: Cross multiply
    125,544.96x = 188,288.64 × 74,958.24
  4. Step 4: Simplify right side
    125,544.96x = 14,113,785,066.39
  5. Step 5: Solve for x
    x = 14,113,785,066.39/125,544.96
  6. Step 6: Final answer
    x = 112,420.16

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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.