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Finding the Fourth Proportional to 224,500.81, 309,813.98 and 132,623.12

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Solution

The fourth proportional to 224,500.81, 309,813.98 and 132,623.12 is: 183,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,500.81 : 309,813.98 = 132,623.12 : x
  2. Step 2: Convert to fraction form
    224,500.81/309,813.98 = 132,623.12/x
  3. Step 3: Cross multiply
    224,500.81x = 309,813.98 × 132,623.12
  4. Step 4: Simplify right side
    224,500.81x = 41,088,496,647.22
  5. Step 5: Solve for x
    x = 41,088,496,647.22/224,500.81
  6. Step 6: Final answer
    x = 183,021.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.