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Finding the Fourth Proportional to 224,169, 309,354.74 and 133,528.79

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Solution

The fourth proportional to 224,169, 309,354.74 and 133,528.79 is: 184,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,169 : 309,354.74 = 133,528.79 : x
  2. Step 2: Convert to fraction form
    224,169/309,354.74 = 133,528.79/x
  3. Step 3: Cross multiply
    224,169x = 309,354.74 × 133,528.79
  4. Step 4: Simplify right side
    224,169x = 41,307,761,898.55
  5. Step 5: Solve for x
    x = 41,307,761,898.55/224,169
  6. Step 6: Final answer
    x = 184,270.63

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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.