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Finding the Fourth Proportional to 195,462.96, 293,199.54 and 53,309.40

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Solution

The fourth proportional to 195,462.96, 293,199.54 and 53,309.40 is: 79,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,462.96 : 293,199.54 = 53,309.40 : x
  2. Step 2: Convert to fraction form
    195,462.96/293,199.54 = 53,309.40/x
  3. Step 3: Cross multiply
    195,462.96x = 293,199.54 × 53,309.40
  4. Step 4: Simplify right side
    195,462.96x = 15,630,291,557.68
  5. Step 5: Solve for x
    x = 15,630,291,557.68/195,462.96
  6. Step 6: Final answer
    x = 79,965.49

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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.