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Finding the Fourth Proportional to 100,708.40, 138,974.65 and 55,386.33

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Solution

The fourth proportional to 100,708.40, 138,974.65 and 55,386.33 is: 76,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.40 : 138,974.65 = 55,386.33 : x
  2. Step 2: Convert to fraction form
    100,708.40/138,974.65 = 55,386.33/x
  3. Step 3: Cross multiply
    100,708.40x = 138,974.65 × 55,386.33
  4. Step 4: Simplify right side
    100,708.40x = 7,697,295,688.07
  5. Step 5: Solve for x
    x = 7,697,295,688.07/100,708.40
  6. Step 6: Final answer
    x = 76,431.52

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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.