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Finding the Fourth Proportional to 107,165.34, 160,735.64 and 28,285.71

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Solution

The fourth proportional to 107,165.34, 160,735.64 and 28,285.71 is: 42,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,165.34 : 160,735.64 = 28,285.71 : x
  2. Step 2: Convert to fraction form
    107,165.34/160,735.64 = 28,285.71/x
  3. Step 3: Cross multiply
    107,165.34x = 160,735.64 × 28,285.71
  4. Step 4: Simplify right side
    107,165.34x = 4,546,521,558.28
  5. Step 5: Solve for x
    x = 4,546,521,558.28/107,165.34
  6. Step 6: Final answer
    x = 42,425.30

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1.5x scale

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.