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Finding the Fourth Proportional to 469,073.96, 703,662.66 and 149,151

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Solution

The fourth proportional to 469,073.96, 703,662.66 and 149,151 is: 223,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073.96 : 703,662.66 = 149,151 : x
  2. Step 2: Convert to fraction form
    469,073.96/703,662.66 = 149,151/x
  3. Step 3: Cross multiply
    469,073.96x = 703,662.66 × 149,151
  4. Step 4: Simplify right side
    469,073.96x = 104,951,989,401.66
  5. Step 5: Solve for x
    x = 104,951,989,401.66/469,073.96
  6. Step 6: Final answer
    x = 223,742.95

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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.