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Finding the Fourth Proportional to 214,915.20, 296,502.44 and 133,206.09

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Solution

The fourth proportional to 214,915.20, 296,502.44 and 133,206.09 is: 183,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,915.20 : 296,502.44 = 133,206.09 : x
  2. Step 2: Convert to fraction form
    214,915.20/296,502.44 = 133,206.09/x
  3. Step 3: Cross multiply
    214,915.20x = 296,502.44 × 133,206.09
  4. Step 4: Simplify right side
    214,915.20x = 39,495,930,041.83
  5. Step 5: Solve for x
    x = 39,495,930,041.83/214,915.20
  6. Step 6: Final answer
    x = 183,774.48

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