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Finding the Fourth Proportional to 242,859.67, 364,068.98 and 85,002.01

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Solution

The fourth proportional to 242,859.67, 364,068.98 and 85,002.01 is: 127,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,859.67 : 364,068.98 = 85,002.01 : x
  2. Step 2: Convert to fraction form
    242,859.67/364,068.98 = 85,002.01/x
  3. Step 3: Cross multiply
    242,859.67x = 364,068.98 × 85,002.01
  4. Step 4: Simplify right side
    242,859.67x = 30,946,594,062.22
  5. Step 5: Solve for x
    x = 30,946,594,062.22/242,859.67
  6. Step 6: Final answer
    x = 127,425.83

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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.