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Finding the Fourth Proportional to 169,214.60, 253,649.10 and 99,057.80

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Solution

The fourth proportional to 169,214.60, 253,649.10 and 99,057.80 is: 148,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,214.60 : 253,649.10 = 99,057.80 : x
  2. Step 2: Convert to fraction form
    169,214.60/253,649.10 = 99,057.80/x
  3. Step 3: Cross multiply
    169,214.60x = 253,649.10 × 99,057.80
  4. Step 4: Simplify right side
    169,214.60x = 25,125,921,817.98
  5. Step 5: Solve for x
    x = 25,125,921,817.98/169,214.60
  6. Step 6: Final answer
    x = 148,485.54

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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.