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Finding the Fourth Proportional to 307,157.38, 460,743.36 and 82,518.10

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Solution

The fourth proportional to 307,157.38, 460,743.36 and 82,518.10 is: 123,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,157.38 : 460,743.36 = 82,518.10 : x
  2. Step 2: Convert to fraction form
    307,157.38/460,743.36 = 82,518.10/x
  3. Step 3: Cross multiply
    307,157.38x = 460,743.36 × 82,518.10
  4. Step 4: Simplify right side
    307,157.38x = 38,019,666,654.82
  5. Step 5: Solve for x
    x = 38,019,666,654.82/307,157.38
  6. Step 6: Final answer
    x = 123,779.11

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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.