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Finding the Fourth Proportional to 232,224.87, 320,538.36 and 151,664.91

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Solution

The fourth proportional to 232,224.87, 320,538.36 and 151,664.91 is: 209,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,224.87 : 320,538.36 = 151,664.91 : x
  2. Step 2: Convert to fraction form
    232,224.87/320,538.36 = 151,664.91/x
  3. Step 3: Cross multiply
    232,224.87x = 320,538.36 × 151,664.91
  4. Step 4: Simplify right side
    232,224.87x = 48,614,421,520.95
  5. Step 5: Solve for x
    x = 48,614,421,520.95/232,224.87
  6. Step 6: Final answer
    x = 209,342.01

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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.