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Finding the Fourth Proportional to 191,313.66, 263,902.95 and 119,569.13

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Solution

The fourth proportional to 191,313.66, 263,902.95 and 119,569.13 is: 164,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,313.66 : 263,902.95 = 119,569.13 : x
  2. Step 2: Convert to fraction form
    191,313.66/263,902.95 = 119,569.13/x
  3. Step 3: Cross multiply
    191,313.66x = 263,902.95 × 119,569.13
  4. Step 4: Simplify right side
    191,313.66x = 31,554,646,135.93
  5. Step 5: Solve for x
    x = 31,554,646,135.93/191,313.66
  6. Step 6: Final answer
    x = 164,936.71

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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.