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Finding the Fourth Proportional to 210,342.16, 290,269.56 and 114,847.84

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Solution

The fourth proportional to 210,342.16, 290,269.56 and 114,847.84 is: 158,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,342.16 : 290,269.56 = 114,847.84 : x
  2. Step 2: Convert to fraction form
    210,342.16/290,269.56 = 114,847.84/x
  3. Step 3: Cross multiply
    210,342.16x = 290,269.56 × 114,847.84
  4. Step 4: Simplify right side
    210,342.16x = 33,336,831,983.75
  5. Step 5: Solve for x
    x = 33,336,831,983.75/210,342.16
  6. Step 6: Final answer
    x = 158,488.59

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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.