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Finding the Fourth Proportional to 214,385.55, 295,870.25 and 118,923

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Solution

The fourth proportional to 214,385.55, 295,870.25 and 118,923 is: 164,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,385.55 : 295,870.25 = 118,923 : x
  2. Step 2: Convert to fraction form
    214,385.55/295,870.25 = 118,923/x
  3. Step 3: Cross multiply
    214,385.55x = 295,870.25 × 118,923
  4. Step 4: Simplify right side
    214,385.55x = 35,185,777,146.14
  5. Step 5: Solve for x
    x = 35,185,777,146.14/214,385.55
  6. Step 6: Final answer
    x = 164,123.83

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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.