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Finding the Fourth Proportional to 214,195.46, 320,782.47 and 124,047.70

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Solution

The fourth proportional to 214,195.46, 320,782.47 and 124,047.70 is: 185,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,195.46 : 320,782.47 = 124,047.70 : x
  2. Step 2: Convert to fraction form
    214,195.46/320,782.47 = 124,047.70/x
  3. Step 3: Cross multiply
    214,195.46x = 320,782.47 × 124,047.70
  4. Step 4: Simplify right side
    214,195.46x = 39,792,326,983.58
  5. Step 5: Solve for x
    x = 39,792,326,983.58/214,195.46
  6. Step 6: Final answer
    x = 185,775.77

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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.