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Finding the Fourth Proportional to 213,890.91, 320,725.62 and 114,024.28

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Solution

The fourth proportional to 213,890.91, 320,725.62 and 114,024.28 is: 170,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,890.91 : 320,725.62 = 114,024.28 : x
  2. Step 2: Convert to fraction form
    213,890.91/320,725.62 = 114,024.28/x
  3. Step 3: Cross multiply
    213,890.91x = 320,725.62 × 114,024.28
  4. Step 4: Simplify right side
    213,890.91x = 36,570,507,327.93
  5. Step 5: Solve for x
    x = 36,570,507,327.93/213,890.91
  6. Step 6: Final answer
    x = 170,977.38

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1.5x scale

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.