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Finding the Fourth Proportional to 227,370.40, 313,794.54 and 144,641.76

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Solution

The fourth proportional to 227,370.40, 313,794.54 and 144,641.76 is: 199,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,370.40 : 313,794.54 = 144,641.76 : x
  2. Step 2: Convert to fraction form
    227,370.40/313,794.54 = 144,641.76/x
  3. Step 3: Cross multiply
    227,370.40x = 313,794.54 × 144,641.76
  4. Step 4: Simplify right side
    227,370.40x = 45,387,794,543.99
  5. Step 5: Solve for x
    x = 45,387,794,543.99/227,370.40
  6. Step 6: Final answer
    x = 199,620.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.