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Finding the Fourth Proportional to 109,851.80, 164,583.30 and 102,853.40

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Solution

The fourth proportional to 109,851.80, 164,583.30 and 102,853.40 is: 154,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,851.80 : 164,583.30 = 102,853.40 : x
  2. Step 2: Convert to fraction form
    109,851.80/164,583.30 = 102,853.40/x
  3. Step 3: Cross multiply
    109,851.80x = 164,583.30 × 102,853.40
  4. Step 4: Simplify right side
    109,851.80x = 16,927,951,988.22
  5. Step 5: Solve for x
    x = 16,927,951,988.22/109,851.80
  6. Step 6: Final answer
    x = 154,098.08

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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.