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Finding the Fourth Proportional to 209,465.37, 314,493.30 and 150,268.77

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Solution

The fourth proportional to 209,465.37, 314,493.30 and 150,268.77 is: 225,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,465.37 : 314,493.30 = 150,268.77 : x
  2. Step 2: Convert to fraction form
    209,465.37/314,493.30 = 150,268.77/x
  3. Step 3: Cross multiply
    209,465.37x = 314,493.30 × 150,268.77
  4. Step 4: Simplify right side
    209,465.37x = 47,258,521,364.24
  5. Step 5: Solve for x
    x = 47,258,521,364.24/209,465.37
  6. Step 6: Final answer
    x = 225,614.96

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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.