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Finding the Fourth Proportional to 138,733.42, 208,209.54 and 71,262.72

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Solution

The fourth proportional to 138,733.42, 208,209.54 and 71,262.72 is: 106,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,733.42 : 208,209.54 = 71,262.72 : x
  2. Step 2: Convert to fraction form
    138,733.42/208,209.54 = 71,262.72/x
  3. Step 3: Cross multiply
    138,733.42x = 208,209.54 × 71,262.72
  4. Step 4: Simplify right side
    138,733.42x = 14,837,578,150.35
  5. Step 5: Solve for x
    x = 14,837,578,150.35/138,733.42
  6. Step 6: Final answer
    x = 106,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.