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Finding the Fourth Proportional to 310,010.14, 427,799.40 and 172,198

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Solution

The fourth proportional to 310,010.14, 427,799.40 and 172,198 is: 237,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010.14 : 427,799.40 = 172,198 : x
  2. Step 2: Convert to fraction form
    310,010.14/427,799.40 = 172,198/x
  3. Step 3: Cross multiply
    310,010.14x = 427,799.40 × 172,198
  4. Step 4: Simplify right side
    310,010.14x = 73,666,201,081.20
  5. Step 5: Solve for x
    x = 73,666,201,081.20/310,010.14
  6. Step 6: Final answer
    x = 237,625.13

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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.