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Finding the Fourth Proportional to 242,869.86, 364,466.52 and 85,098.06

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Solution

The fourth proportional to 242,869.86, 364,466.52 and 85,098.06 is: 127,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,869.86 : 364,466.52 = 85,098.06 : x
  2. Step 2: Convert to fraction form
    242,869.86/364,466.52 = 85,098.06/x
  3. Step 3: Cross multiply
    242,869.86x = 364,466.52 × 85,098.06
  4. Step 4: Simplify right side
    242,869.86x = 31,015,393,786.95
  5. Step 5: Solve for x
    x = 31,015,393,786.95/242,869.86
  6. Step 6: Final answer
    x = 127,703.76

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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.