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Finding the Fourth Proportional to 134,201.52, 185,197.92 and 73,776

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Solution

The fourth proportional to 134,201.52, 185,197.92 and 73,776 is: 101,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,201.52 : 185,197.92 = 73,776 : x
  2. Step 2: Convert to fraction form
    134,201.52/185,197.92 = 73,776/x
  3. Step 3: Cross multiply
    134,201.52x = 185,197.92 × 73,776
  4. Step 4: Simplify right side
    134,201.52x = 13,663,161,745.92
  5. Step 5: Solve for x
    x = 13,663,161,745.92/134,201.52
  6. Step 6: Final answer
    x = 101,810.78

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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.