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Finding the Fourth Proportional to 253,229.42, 349,564.20 and 157,783.27

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Solution

The fourth proportional to 253,229.42, 349,564.20 and 157,783.27 is: 217,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.42 : 349,564.20 = 157,783.27 : x
  2. Step 2: Convert to fraction form
    253,229.42/349,564.20 = 157,783.27/x
  3. Step 3: Cross multiply
    253,229.42x = 349,564.20 × 157,783.27
  4. Step 4: Simplify right side
    253,229.42x = 55,155,382,550.93
  5. Step 5: Solve for x
    x = 55,155,382,550.93/253,229.42
  6. Step 6: Final answer
    x = 217,807.96

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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.