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Finding the Fourth Proportional to 162,820.95, 244,231.43 and 151,416.15

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Solution

The fourth proportional to 162,820.95, 244,231.43 and 151,416.15 is: 227,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,820.95 : 244,231.43 = 151,416.15 : x
  2. Step 2: Convert to fraction form
    162,820.95/244,231.43 = 151,416.15/x
  3. Step 3: Cross multiply
    162,820.95x = 244,231.43 × 151,416.15
  4. Step 4: Simplify right side
    162,820.95x = 36,980,582,082.51
  5. Step 5: Solve for x
    x = 36,980,582,082.51/162,820.95
  6. Step 6: Final answer
    x = 227,124.23

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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.