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Finding the Fourth Proportional to 214,802.96, 296,419.84 and 119,315.76

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Solution

The fourth proportional to 214,802.96, 296,419.84 and 119,315.76 is: 164,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.96 : 296,419.84 = 119,315.76 : x
  2. Step 2: Convert to fraction form
    214,802.96/296,419.84 = 119,315.76/x
  3. Step 3: Cross multiply
    214,802.96x = 296,419.84 × 119,315.76
  4. Step 4: Simplify right side
    214,802.96x = 35,367,558,488.68
  5. Step 5: Solve for x
    x = 35,367,558,488.68/214,802.96
  6. Step 6: Final answer
    x = 164,651.17

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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.