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Finding the Fourth Proportional to 118,185, 177,178.08 and 54,973.02

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Solution

The fourth proportional to 118,185, 177,178.08 and 54,973.02 is: 82,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,185 : 177,178.08 = 54,973.02 : x
  2. Step 2: Convert to fraction form
    118,185/177,178.08 = 54,973.02/x
  3. Step 3: Cross multiply
    118,185x = 177,178.08 × 54,973.02
  4. Step 4: Simplify right side
    118,185x = 9,740,014,135.40
  5. Step 5: Solve for x
    x = 9,740,014,135.40/118,185
  6. Step 6: Final answer
    x = 82,413.29

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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.