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Finding the Fourth Proportional to 214,267.36, 295,657.88 and 118,774

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Solution

The fourth proportional to 214,267.36, 295,657.88 and 118,774 is: 163,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,267.36 : 295,657.88 = 118,774 : x
  2. Step 2: Convert to fraction form
    214,267.36/295,657.88 = 118,774/x
  3. Step 3: Cross multiply
    214,267.36x = 295,657.88 × 118,774
  4. Step 4: Simplify right side
    214,267.36x = 35,116,469,039.12
  5. Step 5: Solve for x
    x = 35,116,469,039.12/214,267.36
  6. Step 6: Final answer
    x = 163,890.89

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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.