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Finding the Fourth Proportional to 210,502.45, 290,479.44 and 119,867.68

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Solution

The fourth proportional to 210,502.45, 290,479.44 and 119,867.68 is: 165,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.45 : 290,479.44 = 119,867.68 : x
  2. Step 2: Convert to fraction form
    210,502.45/290,479.44 = 119,867.68/x
  3. Step 3: Cross multiply
    210,502.45x = 290,479.44 × 119,867.68
  4. Step 4: Simplify right side
    210,502.45x = 34,819,096,560.50
  5. Step 5: Solve for x
    x = 34,819,096,560.50/210,502.45
  6. Step 6: Final answer
    x = 165,409.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.