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Finding the Fourth Proportional to 214,599.40, 296,161.01 and 119,106.10

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Solution

The fourth proportional to 214,599.40, 296,161.01 and 119,106.10 is: 164,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,599.40 : 296,161.01 = 119,106.10 : x
  2. Step 2: Convert to fraction form
    214,599.40/296,161.01 = 119,106.10/x
  3. Step 3: Cross multiply
    214,599.40x = 296,161.01 × 119,106.10
  4. Step 4: Simplify right side
    214,599.40x = 35,274,582,873.16
  5. Step 5: Solve for x
    x = 35,274,582,873.16/214,599.40
  6. Step 6: Final answer
    x = 164,374.10

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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.