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Finding the Fourth Proportional to 233,709.12, 350,772 and 109,120.32

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Solution

The fourth proportional to 233,709.12, 350,772 and 109,120.32 is: 163,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,709.12 : 350,772 = 109,120.32 : x
  2. Step 2: Convert to fraction form
    233,709.12/350,772 = 109,120.32/x
  3. Step 3: Cross multiply
    233,709.12x = 350,772 × 109,120.32
  4. Step 4: Simplify right side
    233,709.12x = 38,276,352,887.04
  5. Step 5: Solve for x
    x = 38,276,352,887.04/233,709.12
  6. Step 6: Final answer
    x = 163,777.75

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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.