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Finding the Fourth Proportional to 109,205.71, 163,808.44 and 34,332.40

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Solution

The fourth proportional to 109,205.71, 163,808.44 and 34,332.40 is: 51,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,205.71 : 163,808.44 = 34,332.40 : x
  2. Step 2: Convert to fraction form
    109,205.71/163,808.44 = 34,332.40/x
  3. Step 3: Cross multiply
    109,205.71x = 163,808.44 × 34,332.40
  4. Step 4: Simplify right side
    109,205.71x = 5,623,937,197.51
  5. Step 5: Solve for x
    x = 5,623,937,197.51/109,205.71
  6. Step 6: Final answer
    x = 51,498.56

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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.