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Finding the Fourth Proportional to 212,297.56, 293,062.56 and 151,763.22

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Solution

The fourth proportional to 212,297.56, 293,062.56 and 151,763.22 is: 209,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,297.56 : 293,062.56 = 151,763.22 : x
  2. Step 2: Convert to fraction form
    212,297.56/293,062.56 = 151,763.22/x
  3. Step 3: Cross multiply
    212,297.56x = 293,062.56 × 151,763.22
  4. Step 4: Simplify right side
    212,297.56x = 44,476,117,197.93
  5. Step 5: Solve for x
    x = 44,476,117,197.93/212,297.56
  6. Step 6: Final answer
    x = 209,498.96

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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.