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Finding the Fourth Proportional to 214,782.63, 296,400.02 and 119,298.21

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Solution

The fourth proportional to 214,782.63, 296,400.02 and 119,298.21 is: 164,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,782.63 : 296,400.02 = 119,298.21 : x
  2. Step 2: Convert to fraction form
    214,782.63/296,400.02 = 119,298.21/x
  3. Step 3: Cross multiply
    214,782.63x = 296,400.02 × 119,298.21
  4. Step 4: Simplify right side
    214,782.63x = 35,359,991,829.96
  5. Step 5: Solve for x
    x = 35,359,991,829.96/214,782.63
  6. Step 6: Final answer
    x = 164,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.