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Finding the Fourth Proportional to 212,321.96, 293,006.34 and 116,830.70

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Solution

The fourth proportional to 212,321.96, 293,006.34 and 116,830.70 is: 161,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,321.96 : 293,006.34 = 116,830.70 : x
  2. Step 2: Convert to fraction form
    212,321.96/293,006.34 = 116,830.70/x
  3. Step 3: Cross multiply
    212,321.96x = 293,006.34 × 116,830.70
  4. Step 4: Simplify right side
    212,321.96x = 34,232,134,341.61
  5. Step 5: Solve for x
    x = 34,232,134,341.61/212,321.96
  6. Step 6: Final answer
    x = 161,227.48

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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.