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Finding the Fourth Proportional to 177,032.49, 265,294.95 and 141,600.96

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Solution

The fourth proportional to 177,032.49, 265,294.95 and 141,600.96 is: 212,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,032.49 : 265,294.95 = 141,600.96 : x
  2. Step 2: Convert to fraction form
    177,032.49/265,294.95 = 141,600.96/x
  3. Step 3: Cross multiply
    177,032.49x = 265,294.95 × 141,600.96
  4. Step 4: Simplify right side
    177,032.49x = 37,566,019,072.15
  5. Step 5: Solve for x
    x = 37,566,019,072.15/177,032.49
  6. Step 6: Final answer
    x = 212,198.45

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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.