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Finding the Fourth Proportional to 212,395.97, 293,106.52 and 116,901.98

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Solution

The fourth proportional to 212,395.97, 293,106.52 and 116,901.98 is: 161,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,395.97 : 293,106.52 = 116,901.98 : x
  2. Step 2: Convert to fraction form
    212,395.97/293,106.52 = 116,901.98/x
  3. Step 3: Cross multiply
    212,395.97x = 293,106.52 × 116,901.98
  4. Step 4: Simplify right side
    212,395.97x = 34,264,734,296.16
  5. Step 5: Solve for x
    x = 34,264,734,296.16/212,395.97
  6. Step 6: Final answer
    x = 161,324.78

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1.5x scale

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.