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Finding the Fourth Proportional to 193,461.09, 290,351.54 and 98,761.24

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Solution

The fourth proportional to 193,461.09, 290,351.54 and 98,761.24 is: 148,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,461.09 : 290,351.54 = 98,761.24 : x
  2. Step 2: Convert to fraction form
    193,461.09/290,351.54 = 98,761.24/x
  3. Step 3: Cross multiply
    193,461.09x = 290,351.54 × 98,761.24
  4. Step 4: Simplify right side
    193,461.09x = 28,675,478,126.31
  5. Step 5: Solve for x
    x = 28,675,478,126.31/193,461.09
  6. Step 6: Final answer
    x = 148,223.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.