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Finding the Fourth Proportional to 224,316.34, 309,545.63 and 133,670.29

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Solution

The fourth proportional to 224,316.34, 309,545.63 and 133,670.29 is: 184,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,316.34 : 309,545.63 = 133,670.29 : x
  2. Step 2: Convert to fraction form
    224,316.34/309,545.63 = 133,670.29/x
  3. Step 3: Cross multiply
    224,316.34x = 309,545.63 × 133,670.29
  4. Step 4: Simplify right side
    224,316.34x = 41,377,053,189.38
  5. Step 5: Solve for x
    x = 41,377,053,189.38/224,316.34
  6. Step 6: Final answer
    x = 184,458.49

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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.