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Finding the Fourth Proportional to 103,165.14, 154,741.34 and 36,596.51

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Solution

The fourth proportional to 103,165.14, 154,741.34 and 36,596.51 is: 54,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,165.14 : 154,741.34 = 36,596.51 : x
  2. Step 2: Convert to fraction form
    103,165.14/154,741.34 = 36,596.51/x
  3. Step 3: Cross multiply
    103,165.14x = 154,741.34 × 36,596.51
  4. Step 4: Simplify right side
    103,165.14x = 5,662,992,688.93
  5. Step 5: Solve for x
    x = 5,662,992,688.93/103,165.14
  6. Step 6: Final answer
    x = 54,892.50

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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.