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Finding the Fourth Proportional to 195,457.74, 293,274.09 and 112,351.74

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Solution

The fourth proportional to 195,457.74, 293,274.09 and 112,351.74 is: 168,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,457.74 : 293,274.09 = 112,351.74 : x
  2. Step 2: Convert to fraction form
    195,457.74/293,274.09 = 112,351.74/x
  3. Step 3: Cross multiply
    195,457.74x = 293,274.09 × 112,351.74
  4. Step 4: Simplify right side
    195,457.74x = 32,949,854,308.42
  5. Step 5: Solve for x
    x = 32,949,854,308.42/195,457.74
  6. Step 6: Final answer
    x = 168,577.89

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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.