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Finding the Fourth Proportional to 102,821.70, 154,117.35 and 43,647.30

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Solution

The fourth proportional to 102,821.70, 154,117.35 and 43,647.30 is: 65,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821.70 : 154,117.35 = 43,647.30 : x
  2. Step 2: Convert to fraction form
    102,821.70/154,117.35 = 43,647.30/x
  3. Step 3: Cross multiply
    102,821.70x = 154,117.35 × 43,647.30
  4. Step 4: Simplify right side
    102,821.70x = 6,726,806,210.66
  5. Step 5: Solve for x
    x = 6,726,806,210.66/102,821.70
  6. Step 6: Final answer
    x = 65,422.05

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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.