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Finding the Fourth Proportional to 232,641.56, 321,007.58 and 145,416.34

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Solution

The fourth proportional to 232,641.56, 321,007.58 and 145,416.34 is: 200,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,641.56 : 321,007.58 = 145,416.34 : x
  2. Step 2: Convert to fraction form
    232,641.56/321,007.58 = 145,416.34/x
  3. Step 3: Cross multiply
    232,641.56x = 321,007.58 × 145,416.34
  4. Step 4: Simplify right side
    232,641.56x = 46,679,747,395.86
  5. Step 5: Solve for x
    x = 46,679,747,395.86/232,641.56
  6. Step 6: Final answer
    x = 200,650.94

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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.