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Finding the Fourth Proportional to 279,782.66, 386,099.78 and 152,458.22

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Solution

The fourth proportional to 279,782.66, 386,099.78 and 152,458.22 is: 210,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,782.66 : 386,099.78 = 152,458.22 : x
  2. Step 2: Convert to fraction form
    279,782.66/386,099.78 = 152,458.22/x
  3. Step 3: Cross multiply
    279,782.66x = 386,099.78 × 152,458.22
  4. Step 4: Simplify right side
    279,782.66x = 58,864,082,508.40
  5. Step 5: Solve for x
    x = 58,864,082,508.40/279,782.66
  6. Step 6: Final answer
    x = 210,392.18

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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.