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Finding the Fourth Proportional to 264,643.04, 396,963.74 and 106,869.62

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Solution

The fourth proportional to 264,643.04, 396,963.74 and 106,869.62 is: 160,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,643.04 : 396,963.74 = 106,869.62 : x
  2. Step 2: Convert to fraction form
    264,643.04/396,963.74 = 106,869.62/x
  3. Step 3: Cross multiply
    264,643.04x = 396,963.74 × 106,869.62
  4. Step 4: Simplify right side
    264,643.04x = 42,423,364,047.58
  5. Step 5: Solve for x
    x = 42,423,364,047.58/264,643.04
  6. Step 6: Final answer
    x = 160,304.10

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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.