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Finding the Fourth Proportional to 194,705, 292,109.34 and 61,587.68

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Solution

The fourth proportional to 194,705, 292,109.34 and 61,587.68 is: 92,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,705 : 292,109.34 = 61,587.68 : x
  2. Step 2: Convert to fraction form
    194,705/292,109.34 = 61,587.68/x
  3. Step 3: Cross multiply
    194,705x = 292,109.34 × 61,587.68
  4. Step 4: Simplify right side
    194,705x = 17,990,336,556.93
  5. Step 5: Solve for x
    x = 17,990,336,556.93/194,705
  6. Step 6: Final answer
    x = 92,397.92

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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.