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Finding the Fourth Proportional to 279,340.56, 385,490.32 and 152,016.08

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Solution

The fourth proportional to 279,340.56, 385,490.32 and 152,016.08 is: 209,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,340.56 : 385,490.32 = 152,016.08 : x
  2. Step 2: Convert to fraction form
    279,340.56/385,490.32 = 152,016.08/x
  3. Step 3: Cross multiply
    279,340.56x = 385,490.32 × 152,016.08
  4. Step 4: Simplify right side
    279,340.56x = 58,600,727,324.35
  5. Step 5: Solve for x
    x = 58,600,727,324.35/279,340.56
  6. Step 6: Final answer
    x = 209,782.38

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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.