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Finding the Fourth Proportional to 191,294.32, 263,985.96 and 106,409.56

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Solution

The fourth proportional to 191,294.32, 263,985.96 and 106,409.56 is: 146,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,294.32 : 263,985.96 = 106,409.56 : x
  2. Step 2: Convert to fraction form
    191,294.32/263,985.96 = 106,409.56/x
  3. Step 3: Cross multiply
    191,294.32x = 263,985.96 × 106,409.56
  4. Step 4: Simplify right side
    191,294.32x = 28,090,629,849.78
  5. Step 5: Solve for x
    x = 28,090,629,849.78/191,294.32
  6. Step 6: Final answer
    x = 146,845.08

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