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Finding the Fourth Proportional to 103,074.64, 154,613.40 and 29,202.64

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Solution

The fourth proportional to 103,074.64, 154,613.40 and 29,202.64 is: 43,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,074.64 : 154,613.40 = 29,202.64 : x
  2. Step 2: Convert to fraction form
    103,074.64/154,613.40 = 29,202.64/x
  3. Step 3: Cross multiply
    103,074.64x = 154,613.40 × 29,202.64
  4. Step 4: Simplify right side
    103,074.64x = 4,515,119,459.38
  5. Step 5: Solve for x
    x = 4,515,119,459.38/103,074.64
  6. Step 6: Final answer
    x = 43,804.37

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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.