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Finding the Fourth Proportional to 102,006.20, 153,009.30 and 70,513.40

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Solution

The fourth proportional to 102,006.20, 153,009.30 and 70,513.40 is: 105,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.20 : 153,009.30 = 70,513.40 : x
  2. Step 2: Convert to fraction form
    102,006.20/153,009.30 = 70,513.40/x
  3. Step 3: Cross multiply
    102,006.20x = 153,009.30 × 70,513.40
  4. Step 4: Simplify right side
    102,006.20x = 10,789,205,974.62
  5. Step 5: Solve for x
    x = 10,789,205,974.62/102,006.20
  6. Step 6: Final answer
    x = 105,770.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.