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Finding the Fourth Proportional to 226,032.50, 311,939.44 and 125,430.50

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Solution

The fourth proportional to 226,032.50, 311,939.44 and 125,430.50 is: 173,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,032.50 : 311,939.44 = 125,430.50 : x
  2. Step 2: Convert to fraction form
    226,032.50/311,939.44 = 125,430.50/x
  3. Step 3: Cross multiply
    226,032.50x = 311,939.44 × 125,430.50
  4. Step 4: Simplify right side
    226,032.50x = 39,126,719,928.92
  5. Step 5: Solve for x
    x = 39,126,719,928.92/226,032.50
  6. Step 6: Final answer
    x = 173,102.19

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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.