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Finding the Fourth Proportional to 215,897.91, 323,846.86 and 75,656.53

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Solution

The fourth proportional to 215,897.91, 323,846.86 and 75,656.53 is: 113,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,897.91 : 323,846.86 = 75,656.53 : x
  2. Step 2: Convert to fraction form
    215,897.91/323,846.86 = 75,656.53/x
  3. Step 3: Cross multiply
    215,897.91x = 323,846.86 × 75,656.53
  4. Step 4: Simplify right side
    215,897.91x = 24,501,130,036.52
  5. Step 5: Solve for x
    x = 24,501,130,036.52/215,897.91
  6. Step 6: Final answer
    x = 113,484.80

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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.