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Finding the Fourth Proportional to 353,742.93, 488,148.93 and 192,597.48

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Solution

The fourth proportional to 353,742.93, 488,148.93 and 192,597.48 is: 265,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,742.93 : 488,148.93 = 192,597.48 : x
  2. Step 2: Convert to fraction form
    353,742.93/488,148.93 = 192,597.48/x
  3. Step 3: Cross multiply
    353,742.93x = 488,148.93 × 192,597.48
  4. Step 4: Simplify right side
    353,742.93x = 94,016,253,782.70
  5. Step 5: Solve for x
    x = 94,016,253,782.70/353,742.93
  6. Step 6: Final answer
    x = 265,775.64

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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.