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Finding the Fourth Proportional to 214,040.95, 295,381.43 and 117,254.05

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Solution

The fourth proportional to 214,040.95, 295,381.43 and 117,254.05 is: 161,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,040.95 : 295,381.43 = 117,254.05 : x
  2. Step 2: Convert to fraction form
    214,040.95/295,381.43 = 117,254.05/x
  3. Step 3: Cross multiply
    214,040.95x = 295,381.43 × 117,254.05
  4. Step 4: Simplify right side
    214,040.95x = 34,634,668,376.02
  5. Step 5: Solve for x
    x = 34,634,668,376.02/214,040.95
  6. Step 6: Final answer
    x = 161,813.28

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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.