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Finding the Fourth Proportional to 205,155.05, 307,772.39 and 78,786

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Solution

The fourth proportional to 205,155.05, 307,772.39 and 78,786 is: 118,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,155.05 : 307,772.39 = 78,786 : x
  2. Step 2: Convert to fraction form
    205,155.05/307,772.39 = 78,786/x
  3. Step 3: Cross multiply
    205,155.05x = 307,772.39 × 78,786
  4. Step 4: Simplify right side
    205,155.05x = 24,248,155,715.51
  5. Step 5: Solve for x
    x = 24,248,155,715.51/205,155.05
  6. Step 6: Final answer
    x = 118,194.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.