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Finding the Fourth Proportional to 109,415.20, 164,122.80 and 102,416.80

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Solution

The fourth proportional to 109,415.20, 164,122.80 and 102,416.80 is: 153,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,415.20 : 164,122.80 = 102,416.80 : x
  2. Step 2: Convert to fraction form
    109,415.20/164,122.80 = 102,416.80/x
  3. Step 3: Cross multiply
    109,415.20x = 164,122.80 × 102,416.80
  4. Step 4: Simplify right side
    109,415.20x = 16,808,931,983.04
  5. Step 5: Solve for x
    x = 16,808,931,983.04/109,415.20
  6. Step 6: Final answer
    x = 153,625.20

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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.