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Finding the Fourth Proportional to 100,641.47, 138,888.39 and 55,322.96

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Solution

The fourth proportional to 100,641.47, 138,888.39 and 55,322.96 is: 76,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,641.47 : 138,888.39 = 55,322.96 : x
  2. Step 2: Convert to fraction form
    100,641.47/138,888.39 = 55,322.96/x
  3. Step 3: Cross multiply
    100,641.47x = 138,888.39 × 55,322.96
  4. Step 4: Simplify right side
    100,641.47x = 7,683,716,149.99
  5. Step 5: Solve for x
    x = 7,683,716,149.99/100,641.47
  6. Step 6: Final answer
    x = 76,347.42

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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.