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Finding the Fourth Proportional to 296,130.50, 408,669.84 and 161,994.50

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Solution

The fourth proportional to 296,130.50, 408,669.84 and 161,994.50 is: 223,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,130.50 : 408,669.84 = 161,994.50 : x
  2. Step 2: Convert to fraction form
    296,130.50/408,669.84 = 161,994.50/x
  3. Step 3: Cross multiply
    296,130.50x = 408,669.84 × 161,994.50
  4. Step 4: Simplify right side
    296,130.50x = 66,202,266,395.88
  5. Step 5: Solve for x
    x = 66,202,266,395.88/296,130.50
  6. Step 6: Final answer
    x = 223,557.74

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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.