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Finding the Fourth Proportional to 109,208.81, 163,813.08 and 34,335.50

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Solution

The fourth proportional to 109,208.81, 163,813.08 and 34,335.50 is: 51,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,208.81 : 163,813.08 = 34,335.50 : x
  2. Step 2: Convert to fraction form
    109,208.81/163,813.08 = 34,335.50/x
  3. Step 3: Cross multiply
    109,208.81x = 163,813.08 × 34,335.50
  4. Step 4: Simplify right side
    109,208.81x = 5,624,603,318.03
  5. Step 5: Solve for x
    x = 5,624,603,318.03/109,208.81
  6. Step 6: Final answer
    x = 51,503.20

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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.