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Finding the Fourth Proportional to 214,432.95, 321,754.22 and 151,656.49

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Solution

The fourth proportional to 214,432.95, 321,754.22 and 151,656.49 is: 227,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,432.95 : 321,754.22 = 151,656.49 : x
  2. Step 2: Convert to fraction form
    214,432.95/321,754.22 = 151,656.49/x
  3. Step 3: Cross multiply
    214,432.95x = 321,754.22 × 151,656.49
  4. Step 4: Simplify right side
    214,432.95x = 48,796,114,903.71
  5. Step 5: Solve for x
    x = 48,796,114,903.71/214,432.95
  6. Step 6: Final answer
    x = 227,558.84

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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.