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Finding the Fourth Proportional to 214,008.60, 295,320.10 and 117,193.66

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Solution

The fourth proportional to 214,008.60, 295,320.10 and 117,193.66 is: 161,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,008.60 : 295,320.10 = 117,193.66 : x
  2. Step 2: Convert to fraction form
    214,008.60/295,320.10 = 117,193.66/x
  3. Step 3: Cross multiply
    214,008.60x = 295,320.10 × 117,193.66
  4. Step 4: Simplify right side
    214,008.60x = 34,609,643,390.57
  5. Step 5: Solve for x
    x = 34,609,643,390.57/214,008.60
  6. Step 6: Final answer
    x = 161,720.81

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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.