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Finding the Fourth Proportional to 107,156.64, 160,716.60 and 28,271.64

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Solution

The fourth proportional to 107,156.64, 160,716.60 and 28,271.64 is: 42,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156.64 : 160,716.60 = 28,271.64 : x
  2. Step 2: Convert to fraction form
    107,156.64/160,716.60 = 28,271.64/x
  3. Step 3: Cross multiply
    107,156.64x = 160,716.60 × 28,271.64
  4. Step 4: Simplify right side
    107,156.64x = 4,543,721,857.22
  5. Step 5: Solve for x
    x = 4,543,721,857.22/107,156.64
  6. Step 6: Final answer
    x = 42,402.62

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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.