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Finding the Fourth Proportional to 109,457.26, 163,948.29 and 67,209.10

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Solution

The fourth proportional to 109,457.26, 163,948.29 and 67,209.10 is: 100,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,457.26 : 163,948.29 = 67,209.10 : x
  2. Step 2: Convert to fraction form
    109,457.26/163,948.29 = 67,209.10/x
  3. Step 3: Cross multiply
    109,457.26x = 163,948.29 × 67,209.10
  4. Step 4: Simplify right side
    109,457.26x = 11,018,817,017.44
  5. Step 5: Solve for x
    x = 11,018,817,017.44/109,457.26
  6. Step 6: Final answer
    x = 100,667.76

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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.