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Finding the Fourth Proportional to 108,285.40, 162,428.10 and 82,041.40

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Solution

The fourth proportional to 108,285.40, 162,428.10 and 82,041.40 is: 123,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285.40 : 162,428.10 = 82,041.40 : x
  2. Step 2: Convert to fraction form
    108,285.40/162,428.10 = 82,041.40/x
  3. Step 3: Cross multiply
    108,285.40x = 162,428.10 × 82,041.40
  4. Step 4: Simplify right side
    108,285.40x = 13,325,828,723.34
  5. Step 5: Solve for x
    x = 13,325,828,723.34/108,285.40
  6. Step 6: Final answer
    x = 123,062.10

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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.