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Finding the Fourth Proportional to 214,663.10, 296,242.71 and 119,171.30

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Solution

The fourth proportional to 214,663.10, 296,242.71 and 119,171.30 is: 164,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,663.10 : 296,242.71 = 119,171.30 : x
  2. Step 2: Convert to fraction form
    214,663.10/296,242.71 = 119,171.30/x
  3. Step 3: Cross multiply
    214,663.10x = 296,242.71 × 119,171.30
  4. Step 4: Simplify right side
    214,663.10x = 35,303,628,866.22
  5. Step 5: Solve for x
    x = 35,303,628,866.22/214,663.10
  6. Step 6: Final answer
    x = 164,460.63

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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.