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Finding the Fourth Proportional to 214,559.86, 296,094.38 and 119,068.15

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Solution

The fourth proportional to 214,559.86, 296,094.38 and 119,068.15 is: 164,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,559.86 : 296,094.38 = 119,068.15 : x
  2. Step 2: Convert to fraction form
    214,559.86/296,094.38 = 119,068.15/x
  3. Step 3: Cross multiply
    214,559.86x = 296,094.38 × 119,068.15
  4. Step 4: Simplify right side
    214,559.86x = 35,255,410,052.00
  5. Step 5: Solve for x
    x = 35,255,410,052.00/214,559.86
  6. Step 6: Final answer
    x = 164,315.03

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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.