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Finding the Fourth Proportional to 464,393.25, 696,706.92 and 131,969.25

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Solution

The fourth proportional to 464,393.25, 696,706.92 and 131,969.25 is: 197,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,393.25 : 696,706.92 = 131,969.25 : x
  2. Step 2: Convert to fraction form
    464,393.25/696,706.92 = 131,969.25/x
  3. Step 3: Cross multiply
    464,393.25x = 696,706.92 × 131,969.25
  4. Step 4: Simplify right side
    464,393.25x = 91,943,889,702.21
  5. Step 5: Solve for x
    x = 91,943,889,702.21/464,393.25
  6. Step 6: Final answer
    x = 197,987.14

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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.