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Finding the Fourth Proportional to 151,200, 226,246.37 and 143,089.07

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Solution

The fourth proportional to 151,200, 226,246.37 and 143,089.07 is: 214,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,200 : 226,246.37 = 143,089.07 : x
  2. Step 2: Convert to fraction form
    151,200/226,246.37 = 143,089.07/x
  3. Step 3: Cross multiply
    151,200x = 226,246.37 × 143,089.07
  4. Step 4: Simplify right side
    151,200x = 32,373,380,827.50
  5. Step 5: Solve for x
    x = 32,373,380,827.50/151,200
  6. Step 6: Final answer
    x = 214,109.66

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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.