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Finding the Fourth Proportional to 113,646.24, 156,866.22 and 65,911.32

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Solution

The fourth proportional to 113,646.24, 156,866.22 and 65,911.32 is: 90,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,646.24 : 156,866.22 = 65,911.32 : x
  2. Step 2: Convert to fraction form
    113,646.24/156,866.22 = 65,911.32/x
  3. Step 3: Cross multiply
    113,646.24x = 156,866.22 × 65,911.32
  4. Step 4: Simplify right side
    113,646.24x = 10,339,259,623.61
  5. Step 5: Solve for x
    x = 10,339,259,623.61/113,646.24
  6. Step 6: Final answer
    x = 90,977.58

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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.