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Finding the Fourth Proportional to 166,490, 249,735.24 and 67,994

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Solution

The fourth proportional to 166,490, 249,735.24 and 67,994 is: 101,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,490 : 249,735.24 = 67,994 : x
  2. Step 2: Convert to fraction form
    166,490/249,735.24 = 67,994/x
  3. Step 3: Cross multiply
    166,490x = 249,735.24 × 67,994
  4. Step 4: Simplify right side
    166,490x = 16,980,497,908.56
  5. Step 5: Solve for x
    x = 16,980,497,908.56/166,490
  6. Step 6: Final answer
    x = 101,991.10

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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.