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Finding the Fourth Proportional to 214,281.51, 321,475.79 and 151,224.71

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Solution

The fourth proportional to 214,281.51, 321,475.79 and 151,224.71 is: 226,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,281.51 : 321,475.79 = 151,224.71 : x
  2. Step 2: Convert to fraction form
    214,281.51/321,475.79 = 151,224.71/x
  3. Step 3: Cross multiply
    214,281.51x = 321,475.79 × 151,224.71
  4. Step 4: Simplify right side
    214,281.51x = 48,615,083,114.77
  5. Step 5: Solve for x
    x = 48,615,083,114.77/214,281.51
  6. Step 6: Final answer
    x = 226,874.84

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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.