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Finding the Fourth Proportional to 353,722.50, 488,134.08 and 192,577.14

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Solution

The fourth proportional to 353,722.50, 488,134.08 and 192,577.14 is: 265,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,722.50 : 488,134.08 = 192,577.14 : x
  2. Step 2: Convert to fraction form
    353,722.50/488,134.08 = 192,577.14/x
  3. Step 3: Cross multiply
    353,722.50x = 488,134.08 × 192,577.14
  4. Step 4: Simplify right side
    353,722.50x = 94,003,465,062.93
  5. Step 5: Solve for x
    x = 94,003,465,062.93/353,722.50
  6. Step 6: Final answer
    x = 265,754.84

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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.