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Finding the Fourth Proportional to 192,463.40, 288,148.35 and 181,990.10

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Solution

The fourth proportional to 192,463.40, 288,148.35 and 181,990.10 is: 272,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,463.40 : 288,148.35 = 181,990.10 : x
  2. Step 2: Convert to fraction form
    192,463.40/288,148.35 = 181,990.10/x
  3. Step 3: Cross multiply
    192,463.40x = 288,148.35 × 181,990.10
  4. Step 4: Simplify right side
    192,463.40x = 52,440,147,031.34
  5. Step 5: Solve for x
    x = 52,440,147,031.34/192,463.40
  6. Step 6: Final answer
    x = 272,468.15

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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.