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Finding the Fourth Proportional to 212,285.98, 292,954.64 and 116,790.63

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Solution

The fourth proportional to 212,285.98, 292,954.64 and 116,790.63 is: 161,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,285.98 : 292,954.64 = 116,790.63 : x
  2. Step 2: Convert to fraction form
    212,285.98/292,954.64 = 116,790.63/x
  3. Step 3: Cross multiply
    212,285.98x = 292,954.64 × 116,790.63
  4. Step 4: Simplify right side
    212,285.98x = 34,214,356,967.02
  5. Step 5: Solve for x
    x = 34,214,356,967.02/212,285.98
  6. Step 6: Final answer
    x = 161,171.06

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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.