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Finding the Fourth Proportional to 210,607.84, 290,638.16 and 115,114.48

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Solution

The fourth proportional to 210,607.84, 290,638.16 and 115,114.48 is: 158,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,607.84 : 290,638.16 = 115,114.48 : x
  2. Step 2: Convert to fraction form
    210,607.84/290,638.16 = 115,114.48/x
  3. Step 3: Cross multiply
    210,607.84x = 290,638.16 × 115,114.48
  4. Step 4: Simplify right side
    210,607.84x = 33,456,660,656.56
  5. Step 5: Solve for x
    x = 33,456,660,656.56/210,607.84
  6. Step 6: Final answer
    x = 158,857.62

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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.