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Finding the Fourth Proportional to 194,966.80, 292,304.40 and 106,320.40

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Solution

The fourth proportional to 194,966.80, 292,304.40 and 106,320.40 is: 159,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,966.80 : 292,304.40 = 106,320.40 : x
  2. Step 2: Convert to fraction form
    194,966.80/292,304.40 = 106,320.40/x
  3. Step 3: Cross multiply
    194,966.80x = 292,304.40 × 106,320.40
  4. Step 4: Simplify right side
    194,966.80x = 31,077,920,729.76
  5. Step 5: Solve for x
    x = 31,077,920,729.76/194,966.80
  6. Step 6: Final answer
    x = 159,401.09

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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.