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Finding the Fourth Proportional to 232,104, 320,316.48 and 131,534.40

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Solution

The fourth proportional to 232,104, 320,316.48 and 131,534.40 is: 181,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,104 : 320,316.48 = 131,534.40 : x
  2. Step 2: Convert to fraction form
    232,104/320,316.48 = 131,534.40/x
  3. Step 3: Cross multiply
    232,104x = 320,316.48 × 131,534.40
  4. Step 4: Simplify right side
    232,104x = 42,132,636,006.91
  5. Step 5: Solve for x
    x = 42,132,636,006.91/232,104
  6. Step 6: Final answer
    x = 181,524.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.