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Finding the Fourth Proportional to 157,138.48, 235,706.46 and 104,068

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Solution

The fourth proportional to 157,138.48, 235,706.46 and 104,068 is: 156,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.48 : 235,706.46 = 104,068 : x
  2. Step 2: Convert to fraction form
    157,138.48/235,706.46 = 104,068/x
  3. Step 3: Cross multiply
    157,138.48x = 235,706.46 × 104,068
  4. Step 4: Simplify right side
    157,138.48x = 24,529,499,879.28
  5. Step 5: Solve for x
    x = 24,529,499,879.28/157,138.48
  6. Step 6: Final answer
    x = 156,101.17

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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.