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Finding the Fourth Proportional to 322,312.14, 483,468.18 and 100,696.14

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Solution

The fourth proportional to 322,312.14, 483,468.18 and 100,696.14 is: 151,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,312.14 : 483,468.18 = 100,696.14 : x
  2. Step 2: Convert to fraction form
    322,312.14/483,468.18 = 100,696.14/x
  3. Step 3: Cross multiply
    322,312.14x = 483,468.18 × 100,696.14
  4. Step 4: Simplify right side
    322,312.14x = 48,683,379,538.83
  5. Step 5: Solve for x
    x = 48,683,379,538.83/322,312.14
  6. Step 6: Final answer
    x = 151,044.20

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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.