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Finding the Fourth Proportional to 146,009.95, 201,494.03 and 78,941.95

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Solution

The fourth proportional to 146,009.95, 201,494.03 and 78,941.95 is: 108,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,009.95 : 201,494.03 = 78,941.95 : x
  2. Step 2: Convert to fraction form
    146,009.95/201,494.03 = 78,941.95/x
  3. Step 3: Cross multiply
    146,009.95x = 201,494.03 × 78,941.95
  4. Step 4: Simplify right side
    146,009.95x = 15,906,330,239.38
  5. Step 5: Solve for x
    x = 15,906,330,239.38/146,009.95
  6. Step 6: Final answer
    x = 108,940.05

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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.