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Finding the Fourth Proportional to 214,237.68, 321,549.24 and 114,483.14

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Solution

The fourth proportional to 214,237.68, 321,549.24 and 114,483.14 is: 171,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,237.68 : 321,549.24 = 114,483.14 : x
  2. Step 2: Convert to fraction form
    214,237.68/321,549.24 = 114,483.14/x
  3. Step 3: Cross multiply
    214,237.68x = 321,549.24 × 114,483.14
  4. Step 4: Simplify right side
    214,237.68x = 36,811,966,687.19
  5. Step 5: Solve for x
    x = 36,811,966,687.19/214,237.68
  6. Step 6: Final answer
    x = 171,827.70

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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.