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Finding the Fourth Proportional to 228,201.57, 342,383.45 and 101,830.32

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Solution

The fourth proportional to 228,201.57, 342,383.45 and 101,830.32 is: 152,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,201.57 : 342,383.45 = 101,830.32 : x
  2. Step 2: Convert to fraction form
    228,201.57/342,383.45 = 101,830.32/x
  3. Step 3: Cross multiply
    228,201.57x = 342,383.45 × 101,830.32
  4. Step 4: Simplify right side
    228,201.57x = 34,865,015,767.05
  5. Step 5: Solve for x
    x = 34,865,015,767.05/228,201.57
  6. Step 6: Final answer
    x = 152,781.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.