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Finding the Fourth Proportional to 194,974.60, 292,461.90 and 164,907.40

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Solution

The fourth proportional to 194,974.60, 292,461.90 and 164,907.40 is: 247,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974.60 : 292,461.90 = 164,907.40 : x
  2. Step 2: Convert to fraction form
    194,974.60/292,461.90 = 164,907.40/x
  3. Step 3: Cross multiply
    194,974.60x = 292,461.90 × 164,907.40
  4. Step 4: Simplify right side
    194,974.60x = 48,229,131,528.06
  5. Step 5: Solve for x
    x = 48,229,131,528.06/194,974.60
  6. Step 6: Final answer
    x = 247,361.10

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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.