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Finding the Fourth Proportional to 191,664.69, 287,510.94 and 77,757.81

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Solution

The fourth proportional to 191,664.69, 287,510.94 and 77,757.81 is: 116,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,664.69 : 287,510.94 = 77,757.81 : x
  2. Step 2: Convert to fraction form
    191,664.69/287,510.94 = 77,757.81/x
  3. Step 3: Cross multiply
    191,664.69x = 287,510.94 × 77,757.81
  4. Step 4: Simplify right side
    191,664.69x = 22,356,221,045.44
  5. Step 5: Solve for x
    x = 22,356,221,045.44/191,664.69
  6. Step 6: Final answer
    x = 116,642.36

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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.