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Finding the Fourth Proportional to 203,495.16, 280,818 and 112,850.94

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Solution

The fourth proportional to 203,495.16, 280,818 and 112,850.94 is: 155,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,495.16 : 280,818 = 112,850.94 : x
  2. Step 2: Convert to fraction form
    203,495.16/280,818 = 112,850.94/x
  3. Step 3: Cross multiply
    203,495.16x = 280,818 × 112,850.94
  4. Step 4: Simplify right side
    203,495.16x = 31,690,575,268.92
  5. Step 5: Solve for x
    x = 31,690,575,268.92/203,495.16
  6. Step 6: Final answer
    x = 155,731.35

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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.