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Finding the Fourth Proportional to 214,097.60, 295,440.84 and 117,301.32

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Solution

The fourth proportional to 214,097.60, 295,440.84 and 117,301.32 is: 161,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.60 : 295,440.84 = 117,301.32 : x
  2. Step 2: Convert to fraction form
    214,097.60/295,440.84 = 117,301.32/x
  3. Step 3: Cross multiply
    214,097.60x = 295,440.84 × 117,301.32
  4. Step 4: Simplify right side
    214,097.60x = 34,655,601,403.92
  5. Step 5: Solve for x
    x = 34,655,601,403.92/214,097.60
  6. Step 6: Final answer
    x = 161,868.24

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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.