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Finding the Fourth Proportional to 106,803.61, 160,229.72 and 56,857.39

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Solution

The fourth proportional to 106,803.61, 160,229.72 and 56,857.39 is: 85,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,803.61 : 160,229.72 = 56,857.39 : x
  2. Step 2: Convert to fraction form
    106,803.61/160,229.72 = 56,857.39/x
  3. Step 3: Cross multiply
    106,803.61x = 160,229.72 × 56,857.39
  4. Step 4: Simplify right side
    106,803.61x = 9,110,243,421.20
  5. Step 5: Solve for x
    x = 9,110,243,421.20/106,803.61
  6. Step 6: Final answer
    x = 85,299.02

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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.