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Finding the Fourth Proportional to 285,757.54, 428,336.22 and 96,152.08

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Solution

The fourth proportional to 285,757.54, 428,336.22 and 96,152.08 is: 144,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,757.54 : 428,336.22 = 96,152.08 : x
  2. Step 2: Convert to fraction form
    285,757.54/428,336.22 = 96,152.08/x
  3. Step 3: Cross multiply
    285,757.54x = 428,336.22 × 96,152.08
  4. Step 4: Simplify right side
    285,757.54x = 41,185,418,492.34
  5. Step 5: Solve for x
    x = 41,185,418,492.34/285,757.54
  6. Step 6: Final answer
    x = 144,127.15

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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.