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Finding the Fourth Proportional to 202,924.44, 280,147.55 and 151,918.83

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Solution

The fourth proportional to 202,924.44, 280,147.55 and 151,918.83 is: 209,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,924.44 : 280,147.55 = 151,918.83 : x
  2. Step 2: Convert to fraction form
    202,924.44/280,147.55 = 151,918.83/x
  3. Step 3: Cross multiply
    202,924.44x = 280,147.55 × 151,918.83
  4. Step 4: Simplify right side
    202,924.44x = 42,559,687,263.77
  5. Step 5: Solve for x
    x = 42,559,687,263.77/202,924.44
  6. Step 6: Final answer
    x = 209,731.70

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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.