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Finding the Fourth Proportional to 214,202.88, 295,601.40 and 118,715.76

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Solution

The fourth proportional to 214,202.88, 295,601.40 and 118,715.76 is: 163,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,202.88 : 295,601.40 = 118,715.76 : x
  2. Step 2: Convert to fraction form
    214,202.88/295,601.40 = 118,715.76/x
  3. Step 3: Cross multiply
    214,202.88x = 295,601.40 × 118,715.76
  4. Step 4: Simplify right side
    214,202.88x = 35,092,544,858.06
  5. Step 5: Solve for x
    x = 35,092,544,858.06/214,202.88
  6. Step 6: Final answer
    x = 163,828.54

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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.