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Finding the Fourth Proportional to 108,909.40, 163,364.10 and 64,513.30

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Solution

The fourth proportional to 108,909.40, 163,364.10 and 64,513.30 is: 96,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,909.40 : 163,364.10 = 64,513.30 : x
  2. Step 2: Convert to fraction form
    108,909.40/163,364.10 = 64,513.30/x
  3. Step 3: Cross multiply
    108,909.40x = 163,364.10 × 64,513.30
  4. Step 4: Simplify right side
    108,909.40x = 10,539,157,192.53
  5. Step 5: Solve for x
    x = 10,539,157,192.53/108,909.40
  6. Step 6: Final answer
    x = 96,769.95

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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.