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Finding the Fourth Proportional to 102,705.40, 154,187.70 and 55,358.20

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Solution

The fourth proportional to 102,705.40, 154,187.70 and 55,358.20 is: 83,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.40 : 154,187.70 = 55,358.20 : x
  2. Step 2: Convert to fraction form
    102,705.40/154,187.70 = 55,358.20/x
  3. Step 3: Cross multiply
    102,705.40x = 154,187.70 × 55,358.20
  4. Step 4: Simplify right side
    102,705.40x = 8,535,553,534.14
  5. Step 5: Solve for x
    x = 8,535,553,534.14/102,705.40
  6. Step 6: Final answer
    x = 83,107.15

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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.