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Finding the Fourth Proportional to 212,269.33, 292,936.23 and 116,776

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Solution

The fourth proportional to 212,269.33, 292,936.23 and 116,776 is: 161,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,269.33 : 292,936.23 = 116,776 : x
  2. Step 2: Convert to fraction form
    212,269.33/292,936.23 = 116,776/x
  3. Step 3: Cross multiply
    212,269.33x = 292,936.23 × 116,776
  4. Step 4: Simplify right side
    212,269.33x = 34,207,921,194.48
  5. Step 5: Solve for x
    x = 34,207,921,194.48/212,269.33
  6. Step 6: Final answer
    x = 161,153.39

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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.