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Finding the Fourth Proportional to 299,060.69, 412,702.52 and 163,094.30

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Solution

The fourth proportional to 299,060.69, 412,702.52 and 163,094.30 is: 225,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,060.69 : 412,702.52 = 163,094.30 : x
  2. Step 2: Convert to fraction form
    299,060.69/412,702.52 = 163,094.30/x
  3. Step 3: Cross multiply
    299,060.69x = 412,702.52 × 163,094.30
  4. Step 4: Simplify right side
    299,060.69x = 67,309,428,607.64
  5. Step 5: Solve for x
    x = 67,309,428,607.64/299,060.69
  6. Step 6: Final answer
    x = 225,069.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.