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Finding the Fourth Proportional to 193,658.18, 290,501.76 and 53,415.50

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Solution

The fourth proportional to 193,658.18, 290,501.76 and 53,415.50 is: 80,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,658.18 : 290,501.76 = 53,415.50 : x
  2. Step 2: Convert to fraction form
    193,658.18/290,501.76 = 53,415.50/x
  3. Step 3: Cross multiply
    193,658.18x = 290,501.76 × 53,415.50
  4. Step 4: Simplify right side
    193,658.18x = 15,517,296,761.28
  5. Step 5: Solve for x
    x = 15,517,296,761.28/193,658.18
  6. Step 6: Final answer
    x = 80,127.25

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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.