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Finding the Fourth Proportional to 210,903.77, 291,047.22 and 115,410.47

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Solution

The fourth proportional to 210,903.77, 291,047.22 and 115,410.47 is: 159,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.77 : 291,047.22 = 115,410.47 : x
  2. Step 2: Convert to fraction form
    210,903.77/291,047.22 = 115,410.47/x
  3. Step 3: Cross multiply
    210,903.77x = 291,047.22 × 115,410.47
  4. Step 4: Simplify right side
    210,903.77x = 33,589,894,997.16
  5. Step 5: Solve for x
    x = 33,589,894,997.16/210,903.77
  6. Step 6: Final answer
    x = 159,266.45

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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.