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Finding the Fourth Proportional to 214,265.60, 295,704 and 118,802.24

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Solution

The fourth proportional to 214,265.60, 295,704 and 118,802.24 is: 163,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,265.60 : 295,704 = 118,802.24 : x
  2. Step 2: Convert to fraction form
    214,265.60/295,704 = 118,802.24/x
  3. Step 3: Cross multiply
    214,265.60x = 295,704 × 118,802.24
  4. Step 4: Simplify right side
    214,265.60x = 35,130,297,576.96
  5. Step 5: Solve for x
    x = 35,130,297,576.96/214,265.60
  6. Step 6: Final answer
    x = 163,956.78

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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.