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Finding the Fourth Proportional to 232,618.23, 320,989.14 and 130,654.80

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Solution

The fourth proportional to 232,618.23, 320,989.14 and 130,654.80 is: 180,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,618.23 : 320,989.14 = 130,654.80 : x
  2. Step 2: Convert to fraction form
    232,618.23/320,989.14 = 130,654.80/x
  3. Step 3: Cross multiply
    232,618.23x = 320,989.14 × 130,654.80
  4. Step 4: Simplify right side
    232,618.23x = 41,938,771,888.87
  5. Step 5: Solve for x
    x = 41,938,771,888.87/232,618.23
  6. Step 6: Final answer
    x = 180,290.13

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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.