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Finding the Fourth Proportional to 166,971.60, 230,433.93 and 103,329.90

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Solution

The fourth proportional to 166,971.60, 230,433.93 and 103,329.90 is: 142,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,971.60 : 230,433.93 = 103,329.90 : x
  2. Step 2: Convert to fraction form
    166,971.60/230,433.93 = 103,329.90/x
  3. Step 3: Cross multiply
    166,971.60x = 230,433.93 × 103,329.90
  4. Step 4: Simplify right side
    166,971.60x = 23,810,714,943.51
  5. Step 5: Solve for x
    x = 23,810,714,943.51/166,971.60
  6. Step 6: Final answer
    x = 142,603.38

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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.