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Finding the Fourth Proportional to 233,783.96, 322,533.24 and 143,067.20

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Solution

The fourth proportional to 233,783.96, 322,533.24 and 143,067.20 is: 197,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783.96 : 322,533.24 = 143,067.20 : x
  2. Step 2: Convert to fraction form
    233,783.96/322,533.24 = 143,067.20/x
  3. Step 3: Cross multiply
    233,783.96x = 322,533.24 × 143,067.20
  4. Step 4: Simplify right side
    233,783.96x = 46,143,927,553.73
  5. Step 5: Solve for x
    x = 46,143,927,553.73/233,783.96
  6. Step 6: Final answer
    x = 197,378.50

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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.