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Finding the Fourth Proportional to 212,647.74, 293,496.38 and 122,064.93

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Solution

The fourth proportional to 212,647.74, 293,496.38 and 122,064.93 is: 168,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,647.74 : 293,496.38 = 122,064.93 : x
  2. Step 2: Convert to fraction form
    212,647.74/293,496.38 = 122,064.93/x
  3. Step 3: Cross multiply
    212,647.74x = 293,496.38 × 122,064.93
  4. Step 4: Simplify right side
    212,647.74x = 35,825,615,079.95
  5. Step 5: Solve for x
    x = 35,825,615,079.95/212,647.74
  6. Step 6: Final answer
    x = 168,474.00

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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.