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Finding the Fourth Proportional to 102,125.60, 153,167.88 and 35,568.64

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Solution

The fourth proportional to 102,125.60, 153,167.88 and 35,568.64 is: 53,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.60 : 153,167.88 = 35,568.64 : x
  2. Step 2: Convert to fraction form
    102,125.60/153,167.88 = 35,568.64/x
  3. Step 3: Cross multiply
    102,125.60x = 153,167.88 × 35,568.64
  4. Step 4: Simplify right side
    102,125.60x = 5,447,973,183.28
  5. Step 5: Solve for x
    x = 5,447,973,183.28/102,125.60
  6. Step 6: Final answer
    x = 53,345.81

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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.