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Finding the Fourth Proportional to 119,807.05, 165,386.87 and 77,386.27

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Solution

The fourth proportional to 119,807.05, 165,386.87 and 77,386.27 is: 106,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,807.05 : 165,386.87 = 77,386.27 : x
  2. Step 2: Convert to fraction form
    119,807.05/165,386.87 = 77,386.27/x
  3. Step 3: Cross multiply
    119,807.05x = 165,386.87 × 77,386.27
  4. Step 4: Simplify right side
    119,807.05x = 12,798,672,976.27
  5. Step 5: Solve for x
    x = 12,798,672,976.27/119,807.05
  6. Step 6: Final answer
    x = 106,827.38

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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.