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Finding the Fourth Proportional to 214,709.48, 296,271.19 and 119,197.72

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Solution

The fourth proportional to 214,709.48, 296,271.19 and 119,197.72 is: 164,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.48 : 296,271.19 = 119,197.72 : x
  2. Step 2: Convert to fraction form
    214,709.48/296,271.19 = 119,197.72/x
  3. Step 3: Cross multiply
    214,709.48x = 296,271.19 × 119,197.72
  4. Step 4: Simplify right side
    214,709.48x = 35,314,849,311.01
  5. Step 5: Solve for x
    x = 35,314,849,311.01/214,709.48
  6. Step 6: Final answer
    x = 164,477.37

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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.