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Finding the Fourth Proportional to 213,794.96, 320,803.05 and 155,114.96

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Solution

The fourth proportional to 213,794.96, 320,803.05 and 155,114.96 is: 232,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.96 : 320,803.05 = 155,114.96 : x
  2. Step 2: Convert to fraction form
    213,794.96/320,803.05 = 155,114.96/x
  3. Step 3: Cross multiply
    213,794.96x = 320,803.05 × 155,114.96
  4. Step 4: Simplify right side
    213,794.96x = 49,761,352,268.63
  5. Step 5: Solve for x
    x = 49,761,352,268.63/213,794.96
  6. Step 6: Final answer
    x = 232,752.69

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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.