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Finding the Fourth Proportional to 113,296.34, 156,368.52 and 65,576

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Solution

The fourth proportional to 113,296.34, 156,368.52 and 65,576 is: 90,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,296.34 : 156,368.52 = 65,576 : x
  2. Step 2: Convert to fraction form
    113,296.34/156,368.52 = 65,576/x
  3. Step 3: Cross multiply
    113,296.34x = 156,368.52 × 65,576
  4. Step 4: Simplify right side
    113,296.34x = 10,254,022,067.52
  5. Step 5: Solve for x
    x = 10,254,022,067.52/113,296.34
  6. Step 6: Final answer
    x = 90,506.21

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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.