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Finding the Fourth Proportional to 204,907.68, 282,777.60 and 114,262.76

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Solution

The fourth proportional to 204,907.68, 282,777.60 and 114,262.76 is: 157,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.68 : 282,777.60 = 114,262.76 : x
  2. Step 2: Convert to fraction form
    204,907.68/282,777.60 = 114,262.76/x
  3. Step 3: Cross multiply
    204,907.68x = 282,777.60 × 114,262.76
  4. Step 4: Simplify right side
    204,907.68x = 32,310,949,042.18
  5. Step 5: Solve for x
    x = 32,310,949,042.18/204,907.68
  6. Step 6: Final answer
    x = 157,685.40

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1.5x scale

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.