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Finding the Fourth Proportional to 215,012.40, 320,704.45 and 186,709.90

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Solution

The fourth proportional to 215,012.40, 320,704.45 and 186,709.90 is: 278,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,012.40 : 320,704.45 = 186,709.90 : x
  2. Step 2: Convert to fraction form
    215,012.40/320,704.45 = 186,709.90/x
  3. Step 3: Cross multiply
    215,012.40x = 320,704.45 × 186,709.90
  4. Step 4: Simplify right side
    215,012.40x = 59,878,695,789.06
  5. Step 5: Solve for x
    x = 59,878,695,789.06/215,012.40
  6. Step 6: Final answer
    x = 278,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.