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Finding the Fourth Proportional to 214,629.50, 296,173.88 and 119,128.68

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Solution

The fourth proportional to 214,629.50, 296,173.88 and 119,128.68 is: 164,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629.50 : 296,173.88 = 119,128.68 : x
  2. Step 2: Convert to fraction form
    214,629.50/296,173.88 = 119,128.68/x
  3. Step 3: Cross multiply
    214,629.50x = 296,173.88 × 119,128.68
  4. Step 4: Simplify right side
    214,629.50x = 35,282,803,225.97
  5. Step 5: Solve for x
    x = 35,282,803,225.97/214,629.50
  6. Step 6: Final answer
    x = 164,389.34

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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.