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Finding the Fourth Proportional to 138,924.51, 208,386.76 and 33,742.77

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Solution

The fourth proportional to 138,924.51, 208,386.76 and 33,742.77 is: 50,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.51 : 208,386.76 = 33,742.77 : x
  2. Step 2: Convert to fraction form
    138,924.51/208,386.76 = 33,742.77/x
  3. Step 3: Cross multiply
    138,924.51x = 208,386.76 × 33,742.77
  4. Step 4: Simplify right side
    138,924.51x = 7,031,546,513.73
  5. Step 5: Solve for x
    x = 7,031,546,513.73/138,924.51
  6. Step 6: Final answer
    x = 50,614.15

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Why These Related Problems?

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