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Finding the Fourth Proportional to 214,058.84, 295,403.23 and 117,264.96

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Solution

The fourth proportional to 214,058.84, 295,403.23 and 117,264.96 is: 161,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,058.84 : 295,403.23 = 117,264.96 : x
  2. Step 2: Convert to fraction form
    214,058.84/295,403.23 = 117,264.96/x
  3. Step 3: Cross multiply
    214,058.84x = 295,403.23 × 117,264.96
  4. Step 4: Simplify right side
    214,058.84x = 34,640,447,656.66
  5. Step 5: Solve for x
    x = 34,640,447,656.66/214,058.84
  6. Step 6: Final answer
    x = 161,826.75

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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.