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Finding the Fourth Proportional to 100,225.84, 138,313.62 and 54,903.80

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Solution

The fourth proportional to 100,225.84, 138,313.62 and 54,903.80 is: 75,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,225.84 : 138,313.62 = 54,903.80 : x
  2. Step 2: Convert to fraction form
    100,225.84/138,313.62 = 54,903.80/x
  3. Step 3: Cross multiply
    100,225.84x = 138,313.62 × 54,903.80
  4. Step 4: Simplify right side
    100,225.84x = 7,593,943,329.76
  5. Step 5: Solve for x
    x = 7,593,943,329.76/100,225.84
  6. Step 6: Final answer
    x = 75,768.32

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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.