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Finding the Fourth Proportional to 152,807.30, 210,872.22 and 84,824.81

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Solution

The fourth proportional to 152,807.30, 210,872.22 and 84,824.81 is: 117,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,807.30 : 210,872.22 = 84,824.81 : x
  2. Step 2: Convert to fraction form
    152,807.30/210,872.22 = 84,824.81/x
  3. Step 3: Cross multiply
    152,807.30x = 210,872.22 × 84,824.81
  4. Step 4: Simplify right side
    152,807.30x = 17,887,195,995.78
  5. Step 5: Solve for x
    x = 17,887,195,995.78/152,807.30
  6. Step 6: Final answer
    x = 117,057.21

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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.