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Finding the Fourth Proportional to 214,407.56, 295,900.59 and 118,945

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Solution

The fourth proportional to 214,407.56, 295,900.59 and 118,945 is: 164,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,407.56 : 295,900.59 = 118,945 : x
  2. Step 2: Convert to fraction form
    214,407.56/295,900.59 = 118,945/x
  3. Step 3: Cross multiply
    214,407.56x = 295,900.59 × 118,945
  4. Step 4: Simplify right side
    214,407.56x = 35,195,895,677.55
  5. Step 5: Solve for x
    x = 35,195,895,677.55/214,407.56
  6. Step 6: Final answer
    x = 164,154.17

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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.