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Finding the Fourth Proportional to 193,224.90, 289,379.17 and 153,114.92

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Solution

The fourth proportional to 193,224.90, 289,379.17 and 153,114.92 is: 229,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,224.90 : 289,379.17 = 153,114.92 : x
  2. Step 2: Convert to fraction form
    193,224.90/289,379.17 = 153,114.92/x
  3. Step 3: Cross multiply
    193,224.90x = 289,379.17 × 153,114.92
  4. Step 4: Simplify right side
    193,224.90x = 44,308,267,569.90
  5. Step 5: Solve for x
    x = 44,308,267,569.90/193,224.90
  6. Step 6: Final answer
    x = 229,309.31

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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.