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Finding the Fourth Proportional to 263,055.04, 363,016 and 142,196

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Solution

The fourth proportional to 263,055.04, 363,016 and 142,196 is: 196,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,055.04 : 363,016 = 142,196 : x
  2. Step 2: Convert to fraction form
    263,055.04/363,016 = 142,196/x
  3. Step 3: Cross multiply
    263,055.04x = 363,016 × 142,196
  4. Step 4: Simplify right side
    263,055.04x = 51,619,423,136
  5. Step 5: Solve for x
    x = 51,619,423,136/263,055.04
  6. Step 6: Final answer
    x = 196,230.50

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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.