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Finding the Fourth Proportional to 135,403.34, 186,743.34 and 101,491.47

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Solution

The fourth proportional to 135,403.34, 186,743.34 and 101,491.47 is: 139,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,403.34 : 186,743.34 = 101,491.47 : x
  2. Step 2: Convert to fraction form
    135,403.34/186,743.34 = 101,491.47/x
  3. Step 3: Cross multiply
    135,403.34x = 186,743.34 × 101,491.47
  4. Step 4: Simplify right side
    135,403.34x = 18,952,856,089.31
  5. Step 5: Solve for x
    x = 18,952,856,089.31/135,403.34
  6. Step 6: Final answer
    x = 139,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.