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Finding the Fourth Proportional to 233,879.10, 322,803.23 and 147,783.42

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Solution

The fourth proportional to 233,879.10, 322,803.23 and 147,783.42 is: 203,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,879.10 : 322,803.23 = 147,783.42 : x
  2. Step 2: Convert to fraction form
    233,879.10/322,803.23 = 147,783.42/x
  3. Step 3: Cross multiply
    233,879.10x = 322,803.23 × 147,783.42
  4. Step 4: Simplify right side
    233,879.10x = 47,704,964,577.53
  5. Step 5: Solve for x
    x = 47,704,964,577.53/233,879.10
  6. Step 6: Final answer
    x = 203,972.76

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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.