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Finding the Fourth Proportional to 109,207.40, 163,811.10 and 64,811.30

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Solution

The fourth proportional to 109,207.40, 163,811.10 and 64,811.30 is: 97,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,207.40 : 163,811.10 = 64,811.30 : x
  2. Step 2: Convert to fraction form
    109,207.40/163,811.10 = 64,811.30/x
  3. Step 3: Cross multiply
    109,207.40x = 163,811.10 × 64,811.30
  4. Step 4: Simplify right side
    109,207.40x = 10,616,810,345.43
  5. Step 5: Solve for x
    x = 10,616,810,345.43/109,207.40
  6. Step 6: Final answer
    x = 97,216.95

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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.