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Finding the Fourth Proportional to 232,652.94, 320,979.30 and 152,127.60

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Solution

The fourth proportional to 232,652.94, 320,979.30 and 152,127.60 is: 209,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,652.94 : 320,979.30 = 152,127.60 : x
  2. Step 2: Convert to fraction form
    232,652.94/320,979.30 = 152,127.60/x
  3. Step 3: Cross multiply
    232,652.94x = 320,979.30 × 152,127.60
  4. Step 4: Simplify right side
    232,652.94x = 48,829,810,558.68
  5. Step 5: Solve for x
    x = 48,829,810,558.68/232,652.94
  6. Step 6: Final answer
    x = 209,882.63

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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.