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Finding the Fourth Proportional to 210,098, 289,930.32 and 114,605.44

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Solution

The fourth proportional to 210,098, 289,930.32 and 114,605.44 is: 158,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098 : 289,930.32 = 114,605.44 : x
  2. Step 2: Convert to fraction form
    210,098/289,930.32 = 114,605.44/x
  3. Step 3: Cross multiply
    210,098x = 289,930.32 × 114,605.44
  4. Step 4: Simplify right side
    210,098x = 33,227,591,892.94
  5. Step 5: Solve for x
    x = 33,227,591,892.94/210,098
  6. Step 6: Final answer
    x = 158,152.82

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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.