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Finding the Fourth Proportional to 193,654.84, 290,511.84 and 98,833.36

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Solution

The fourth proportional to 193,654.84, 290,511.84 and 98,833.36 is: 148,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,654.84 : 290,511.84 = 98,833.36 : x
  2. Step 2: Convert to fraction form
    193,654.84/290,511.84 = 98,833.36/x
  3. Step 3: Cross multiply
    193,654.84x = 290,511.84 × 98,833.36
  4. Step 4: Simplify right side
    193,654.84x = 28,712,261,266.98
  5. Step 5: Solve for x
    x = 28,712,261,266.98/193,654.84
  6. Step 6: Final answer
    x = 148,265.14

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Why These Related Problems?

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