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Finding the Fourth Proportional to 191,613.78, 287,398.80 and 51,361.47

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Solution

The fourth proportional to 191,613.78, 287,398.80 and 51,361.47 is: 77,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,613.78 : 287,398.80 = 51,361.47 : x
  2. Step 2: Convert to fraction form
    191,613.78/287,398.80 = 51,361.47/x
  3. Step 3: Cross multiply
    191,613.78x = 287,398.80 × 51,361.47
  4. Step 4: Simplify right side
    191,613.78x = 14,761,224,844.24
  5. Step 5: Solve for x
    x = 14,761,224,844.24/191,613.78
  6. Step 6: Final answer
    x = 77,036.34

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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.