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Finding the Fourth Proportional to 192,410.30, 288,615.45 and 157,418.30

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Solution

The fourth proportional to 192,410.30, 288,615.45 and 157,418.30 is: 236,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,410.30 : 288,615.45 = 157,418.30 : x
  2. Step 2: Convert to fraction form
    192,410.30/288,615.45 = 157,418.30/x
  3. Step 3: Cross multiply
    192,410.30x = 288,615.45 × 157,418.30
  4. Step 4: Simplify right side
    192,410.30x = 45,433,353,492.74
  5. Step 5: Solve for x
    x = 45,433,353,492.74/192,410.30
  6. Step 6: Final answer
    x = 236,127.45

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1.5x scale

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.