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Finding the Fourth Proportional to 228,086.30, 342,129.45 and 134,774.30

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Solution

The fourth proportional to 228,086.30, 342,129.45 and 134,774.30 is: 202,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,086.30 : 342,129.45 = 134,774.30 : x
  2. Step 2: Convert to fraction form
    228,086.30/342,129.45 = 134,774.30/x
  3. Step 3: Cross multiply
    228,086.30x = 342,129.45 × 134,774.30
  4. Step 4: Simplify right side
    228,086.30x = 46,110,257,133.14
  5. Step 5: Solve for x
    x = 46,110,257,133.14/228,086.30
  6. Step 6: Final answer
    x = 202,161.45

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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.