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Finding the Fourth Proportional to 109,284.84, 150,811.56 and 61,542.84

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Solution

The fourth proportional to 109,284.84, 150,811.56 and 61,542.84 is: 84,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284.84 : 150,811.56 = 61,542.84 : x
  2. Step 2: Convert to fraction form
    109,284.84/150,811.56 = 61,542.84/x
  3. Step 3: Cross multiply
    109,284.84x = 150,811.56 × 61,542.84
  4. Step 4: Simplify right side
    109,284.84x = 9,281,371,707.23
  5. Step 5: Solve for x
    x = 9,281,371,707.23/109,284.84
  6. Step 6: Final answer
    x = 84,928.26

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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.