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Finding the Fourth Proportional to 101,658.17, 140,284.23 and 56,338.09

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Solution

The fourth proportional to 101,658.17, 140,284.23 and 56,338.09 is: 77,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,658.17 : 140,284.23 = 56,338.09 : x
  2. Step 2: Convert to fraction form
    101,658.17/140,284.23 = 56,338.09/x
  3. Step 3: Cross multiply
    101,658.17x = 140,284.23 × 56,338.09
  4. Step 4: Simplify right side
    101,658.17x = 7,903,345,293.63
  5. Step 5: Solve for x
    x = 7,903,345,293.63/101,658.17
  6. Step 6: Final answer
    x = 77,744.32

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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.