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Finding the Fourth Proportional to 224,538.33, 309,914.91 and 148,071.18

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Solution

The fourth proportional to 224,538.33, 309,914.91 and 148,071.18 is: 204,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.33 : 309,914.91 = 148,071.18 : x
  2. Step 2: Convert to fraction form
    224,538.33/309,914.91 = 148,071.18/x
  3. Step 3: Cross multiply
    224,538.33x = 309,914.91 × 148,071.18
  4. Step 4: Simplify right side
    224,538.33x = 45,889,466,423.29
  5. Step 5: Solve for x
    x = 45,889,466,423.29/224,538.33
  6. Step 6: Final answer
    x = 204,372.53

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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.