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Finding the Fourth Proportional to 232,489.98, 320,753.63 and 151,963.97

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Solution

The fourth proportional to 232,489.98, 320,753.63 and 151,963.97 is: 209,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,489.98 : 320,753.63 = 151,963.97 : x
  2. Step 2: Convert to fraction form
    232,489.98/320,753.63 = 151,963.97/x
  3. Step 3: Cross multiply
    232,489.98x = 320,753.63 × 151,963.97
  4. Step 4: Simplify right side
    232,489.98x = 48,742,992,643.12
  5. Step 5: Solve for x
    x = 48,742,992,643.12/232,489.98
  6. Step 6: Final answer
    x = 209,656.32

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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.