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Finding the Fourth Proportional to 157,223.74, 235,696.26 and 112,738.54

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Solution

The fourth proportional to 157,223.74, 235,696.26 and 112,738.54 is: 169,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.74 : 235,696.26 = 112,738.54 : x
  2. Step 2: Convert to fraction form
    157,223.74/235,696.26 = 112,738.54/x
  3. Step 3: Cross multiply
    157,223.74x = 235,696.26 × 112,738.54
  4. Step 4: Simplify right side
    157,223.74x = 26,572,052,235.86
  5. Step 5: Solve for x
    x = 26,572,052,235.86/157,223.74
  6. Step 6: Final answer
    x = 169,007.89

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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.