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Finding the Fourth Proportional to 210,427.47, 315,433.43 and 83,991.51

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Solution

The fourth proportional to 210,427.47, 315,433.43 and 83,991.51 is: 125,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,427.47 : 315,433.43 = 83,991.51 : x
  2. Step 2: Convert to fraction form
    210,427.47/315,433.43 = 83,991.51/x
  3. Step 3: Cross multiply
    210,427.47x = 315,433.43 × 83,991.51
  4. Step 4: Simplify right side
    210,427.47x = 26,493,729,670.22
  5. Step 5: Solve for x
    x = 26,493,729,670.22/210,427.47
  6. Step 6: Final answer
    x = 125,904.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.