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Finding the Fourth Proportional to 233,765, 350,693.58 and 75,997.32

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Solution

The fourth proportional to 233,765, 350,693.58 and 75,997.32 is: 114,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,765 : 350,693.58 = 75,997.32 : x
  2. Step 2: Convert to fraction form
    233,765/350,693.58 = 75,997.32/x
  3. Step 3: Cross multiply
    233,765x = 350,693.58 × 75,997.32
  4. Step 4: Simplify right side
    233,765x = 26,651,772,221.21
  5. Step 5: Solve for x
    x = 26,651,772,221.21/233,765
  6. Step 6: Final answer
    x = 114,010.96

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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.