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Finding the Fourth Proportional to 290,085.95, 400,312.27 and 161,016.84

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Solution

The fourth proportional to 290,085.95, 400,312.27 and 161,016.84 is: 222,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,085.95 : 400,312.27 = 161,016.84 : x
  2. Step 2: Convert to fraction form
    290,085.95/400,312.27 = 161,016.84/x
  3. Step 3: Cross multiply
    290,085.95x = 400,312.27 × 161,016.84
  4. Step 4: Simplify right side
    290,085.95x = 64,457,016,728.63
  5. Step 5: Solve for x
    x = 64,457,016,728.63/290,085.95
  6. Step 6: Final answer
    x = 222,199.72

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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.