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Finding the Fourth Proportional to 224,071.67, 309,214.90 and 122,098.02

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Solution

The fourth proportional to 224,071.67, 309,214.90 and 122,098.02 is: 168,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.67 : 309,214.90 = 122,098.02 : x
  2. Step 2: Convert to fraction form
    224,071.67/309,214.90 = 122,098.02/x
  3. Step 3: Cross multiply
    224,071.67x = 309,214.90 × 122,098.02
  4. Step 4: Simplify right side
    224,071.67x = 37,754,527,044.50
  5. Step 5: Solve for x
    x = 37,754,527,044.50/224,071.67
  6. Step 6: Final answer
    x = 168,493.09

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1.5x scale

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.