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Finding the Fourth Proportional to 212,952.36, 319,359.40 and 70,759.46

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Solution

The fourth proportional to 212,952.36, 319,359.40 and 70,759.46 is: 106,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952.36 : 319,359.40 = 70,759.46 : x
  2. Step 2: Convert to fraction form
    212,952.36/319,359.40 = 70,759.46/x
  3. Step 3: Cross multiply
    212,952.36x = 319,359.40 × 70,759.46
  4. Step 4: Simplify right side
    212,952.36x = 22,597,698,689.92
  5. Step 5: Solve for x
    x = 22,597,698,689.92/212,952.36
  6. Step 6: Final answer
    x = 106,116.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.