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Finding the Fourth Proportional to 191,370, 285,033.48 and 181,377.84

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Solution

The fourth proportional to 191,370, 285,033.48 and 181,377.84 is: 270,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,370 : 285,033.48 = 181,377.84 : x
  2. Step 2: Convert to fraction form
    191,370/285,033.48 = 181,377.84/x
  3. Step 3: Cross multiply
    191,370x = 285,033.48 × 181,377.84
  4. Step 4: Simplify right side
    191,370x = 51,698,756,930.08
  5. Step 5: Solve for x
    x = 51,698,756,930.08/191,370
  6. Step 6: Final answer
    x = 270,150.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.