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Finding the Fourth Proportional to 210,214.50, 290,102.16 and 114,727.32

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Solution

The fourth proportional to 210,214.50, 290,102.16 and 114,727.32 is: 158,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,214.50 : 290,102.16 = 114,727.32 : x
  2. Step 2: Convert to fraction form
    210,214.50/290,102.16 = 114,727.32/x
  3. Step 3: Cross multiply
    210,214.50x = 290,102.16 × 114,727.32
  4. Step 4: Simplify right side
    210,214.50x = 33,282,643,343.01
  5. Step 5: Solve for x
    x = 33,282,643,343.01/210,214.50
  6. Step 6: Final answer
    x = 158,327.06

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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.