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Finding the Fourth Proportional to 221,953.21, 306,314.19 and 135,911.77

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Solution

The fourth proportional to 221,953.21, 306,314.19 and 135,911.77 is: 187,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,953.21 : 306,314.19 = 135,911.77 : x
  2. Step 2: Convert to fraction form
    221,953.21/306,314.19 = 135,911.77/x
  3. Step 3: Cross multiply
    221,953.21x = 306,314.19 × 135,911.77
  4. Step 4: Simplify right side
    221,953.21x = 41,631,702,973.23
  5. Step 5: Solve for x
    x = 41,631,702,973.23/221,953.21
  6. Step 6: Final answer
    x = 187,569.73

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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.