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Finding the Fourth Proportional to 214,602.66, 296,165.50 and 119,109.34

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Solution

The fourth proportional to 214,602.66, 296,165.50 and 119,109.34 is: 164,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,602.66 : 296,165.50 = 119,109.34 : x
  2. Step 2: Convert to fraction form
    214,602.66/296,165.50 = 119,109.34/x
  3. Step 3: Cross multiply
    214,602.66x = 296,165.50 × 119,109.34
  4. Step 4: Simplify right side
    214,602.66x = 35,276,077,235.77
  5. Step 5: Solve for x
    x = 35,276,077,235.77/214,602.66
  6. Step 6: Final answer
    x = 164,378.56

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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.