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Finding the Fourth Proportional to 157,093.70, 235,640.55 and 82,184.90

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Solution

The fourth proportional to 157,093.70, 235,640.55 and 82,184.90 is: 123,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,093.70 : 235,640.55 = 82,184.90 : x
  2. Step 2: Convert to fraction form
    157,093.70/235,640.55 = 82,184.90/x
  3. Step 3: Cross multiply
    157,093.70x = 235,640.55 × 82,184.90
  4. Step 4: Simplify right side
    157,093.70x = 19,366,095,037.70
  5. Step 5: Solve for x
    x = 19,366,095,037.70/157,093.70
  6. Step 6: Final answer
    x = 123,277.35

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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.