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Finding the Fourth Proportional to 174,709.60, 262,064.40 and 161,192.80

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Solution

The fourth proportional to 174,709.60, 262,064.40 and 161,192.80 is: 241,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,709.60 : 262,064.40 = 161,192.80 : x
  2. Step 2: Convert to fraction form
    174,709.60/262,064.40 = 161,192.80/x
  3. Step 3: Cross multiply
    174,709.60x = 262,064.40 × 161,192.80
  4. Step 4: Simplify right side
    174,709.60x = 42,242,894,416.32
  5. Step 5: Solve for x
    x = 42,242,894,416.32/174,709.60
  6. Step 6: Final answer
    x = 241,789.20

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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.