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Finding the Fourth Proportional to 321,465.96, 482,192.54 and 99,849.32

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Solution

The fourth proportional to 321,465.96, 482,192.54 and 99,849.32 is: 149,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,465.96 : 482,192.54 = 99,849.32 : x
  2. Step 2: Convert to fraction form
    321,465.96/482,192.54 = 99,849.32/x
  3. Step 3: Cross multiply
    321,465.96x = 482,192.54 × 99,849.32
  4. Step 4: Simplify right side
    321,465.96x = 48,146,597,228.07
  5. Step 5: Solve for x
    x = 48,146,597,228.07/321,465.96
  6. Step 6: Final answer
    x = 149,771.99

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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.