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Finding the Fourth Proportional to 201,400.76, 277,927.50 and 110,756.72

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Solution

The fourth proportional to 201,400.76, 277,927.50 and 110,756.72 is: 152,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,400.76 : 277,927.50 = 110,756.72 : x
  2. Step 2: Convert to fraction form
    201,400.76/277,927.50 = 110,756.72/x
  3. Step 3: Cross multiply
    201,400.76x = 277,927.50 × 110,756.72
  4. Step 4: Simplify right side
    201,400.76x = 30,782,338,783.49
  5. Step 5: Solve for x
    x = 30,782,338,783.49/201,400.76
  6. Step 6: Final answer
    x = 152,841.23

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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.