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Finding the Fourth Proportional to 232,409.25, 320,724.77 and 131,807.25

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Solution

The fourth proportional to 232,409.25, 320,724.77 and 131,807.25 is: 181,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.25 : 320,724.77 = 131,807.25 : x
  2. Step 2: Convert to fraction form
    232,409.25/320,724.77 = 131,807.25/x
  3. Step 3: Cross multiply
    232,409.25x = 320,724.77 × 131,807.25
  4. Step 4: Simplify right side
    232,409.25x = 42,273,849,281.55
  5. Step 5: Solve for x
    x = 42,273,849,281.55/232,409.25
  6. Step 6: Final answer
    x = 181,894.01

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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.