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Finding the Fourth Proportional to 151,741.38, 209,185.50 and 119,419.98

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Solution

The fourth proportional to 151,741.38, 209,185.50 and 119,419.98 is: 164,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,741.38 : 209,185.50 = 119,419.98 : x
  2. Step 2: Convert to fraction form
    151,741.38/209,185.50 = 119,419.98/x
  3. Step 3: Cross multiply
    151,741.38x = 209,185.50 × 119,419.98
  4. Step 4: Simplify right side
    151,741.38x = 24,980,928,226.29
  5. Step 5: Solve for x
    x = 24,980,928,226.29/151,741.38
  6. Step 6: Final answer
    x = 164,628.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.