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Finding the Fourth Proportional to 299,211.50, 412,897.44 and 163,237.34

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Solution

The fourth proportional to 299,211.50, 412,897.44 and 163,237.34 is: 225,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211.50 : 412,897.44 = 163,237.34 : x
  2. Step 2: Convert to fraction form
    299,211.50/412,897.44 = 163,237.34/x
  3. Step 3: Cross multiply
    299,211.50x = 412,897.44 × 163,237.34
  4. Step 4: Simplify right side
    299,211.50x = 67,400,279,798.41
  5. Step 5: Solve for x
    x = 67,400,279,798.41/299,211.50
  6. Step 6: Final answer
    x = 225,259.66

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