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Finding the Fourth Proportional to 212,210.64, 292,857.72 and 116,724.72

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Solution

The fourth proportional to 212,210.64, 292,857.72 and 116,724.72 is: 161,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,210.64 : 292,857.72 = 116,724.72 : x
  2. Step 2: Convert to fraction form
    212,210.64/292,857.72 = 116,724.72/x
  3. Step 3: Cross multiply
    212,210.64x = 292,857.72 × 116,724.72
  4. Step 4: Simplify right side
    212,210.64x = 34,183,735,366.84
  5. Step 5: Solve for x
    x = 34,183,735,366.84/212,210.64
  6. Step 6: Final answer
    x = 161,083.98

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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.