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Finding the Fourth Proportional to 214,651.52, 296,187.52 and 119,159.04

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Solution

The fourth proportional to 214,651.52, 296,187.52 and 119,159.04 is: 164,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,651.52 : 296,187.52 = 119,159.04 : x
  2. Step 2: Convert to fraction form
    214,651.52/296,187.52 = 119,159.04/x
  3. Step 3: Cross multiply
    214,651.52x = 296,187.52 × 119,159.04
  4. Step 4: Simplify right side
    214,651.52x = 35,293,420,543.18
  5. Step 5: Solve for x
    x = 35,293,420,543.18/214,651.52
  6. Step 6: Final answer
    x = 164,421.95

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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.