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Finding the Fourth Proportional to 214,083.95, 321,142.53 and 64,312.52

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Solution

The fourth proportional to 214,083.95, 321,142.53 and 64,312.52 is: 96,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083.95 : 321,142.53 = 64,312.52 : x
  2. Step 2: Convert to fraction form
    214,083.95/321,142.53 = 64,312.52/x
  3. Step 3: Cross multiply
    214,083.95x = 321,142.53 × 64,312.52
  4. Step 4: Simplify right side
    214,083.95x = 20,653,485,383.48
  5. Step 5: Solve for x
    x = 20,653,485,383.48/214,083.95
  6. Step 6: Final answer
    x = 96,473.77

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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.