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Finding the Fourth Proportional to 263,762.33, 363,992.10 and 142,904.45

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Solution

The fourth proportional to 263,762.33, 363,992.10 and 142,904.45 is: 197,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,762.33 : 363,992.10 = 142,904.45 : x
  2. Step 2: Convert to fraction form
    263,762.33/363,992.10 = 142,904.45/x
  3. Step 3: Cross multiply
    263,762.33x = 363,992.10 × 142,904.45
  4. Step 4: Simplify right side
    263,762.33x = 52,016,090,854.85
  5. Step 5: Solve for x
    x = 52,016,090,854.85/263,762.33
  6. Step 6: Final answer
    x = 197,208.19

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1.5x scale

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.