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Finding the Fourth Proportional to 201,200.90, 277,657.13 and 110,556.72

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Solution

The fourth proportional to 201,200.90, 277,657.13 and 110,556.72 is: 152,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.90 : 277,657.13 = 110,556.72 : x
  2. Step 2: Convert to fraction form
    201,200.90/277,657.13 = 110,556.72/x
  3. Step 3: Cross multiply
    201,200.90x = 277,657.13 × 110,556.72
  4. Step 4: Simplify right side
    201,200.90x = 30,696,861,853.81
  5. Step 5: Solve for x
    x = 30,696,861,853.81/201,200.90
  6. Step 6: Final answer
    x = 152,568.22

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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.