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Finding the Fourth Proportional to 214,599.64, 296,161.36 and 119,106.34

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Solution

The fourth proportional to 214,599.64, 296,161.36 and 119,106.34 is: 164,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,599.64 : 296,161.36 = 119,106.34 : x
  2. Step 2: Convert to fraction form
    214,599.64/296,161.36 = 119,106.34/x
  3. Step 3: Cross multiply
    214,599.64x = 296,161.36 × 119,106.34
  4. Step 4: Simplify right side
    214,599.64x = 35,274,695,639.02
  5. Step 5: Solve for x
    x = 35,274,695,639.02/214,599.64
  6. Step 6: Final answer
    x = 164,374.44

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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.