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Finding the Fourth Proportional to 210,507.53, 290,497.01 and 115,012.18

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Solution

The fourth proportional to 210,507.53, 290,497.01 and 115,012.18 is: 158,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,507.53 : 290,497.01 = 115,012.18 : x
  2. Step 2: Convert to fraction form
    210,507.53/290,497.01 = 115,012.18/x
  3. Step 3: Cross multiply
    210,507.53x = 290,497.01 × 115,012.18
  4. Step 4: Simplify right side
    210,507.53x = 33,410,693,102.28
  5. Step 5: Solve for x
    x = 33,410,693,102.28/210,507.53
  6. Step 6: Final answer
    x = 158,714.95

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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.