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Finding the Fourth Proportional to 214,408.35, 295,862.63 and 118,913.00

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Solution

The fourth proportional to 214,408.35, 295,862.63 and 118,913.00 is: 164,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408.35 : 295,862.63 = 118,913.00 : x
  2. Step 2: Convert to fraction form
    214,408.35/295,862.63 = 118,913.00/x
  3. Step 3: Cross multiply
    214,408.35x = 295,862.63 × 118,913.00
  4. Step 4: Simplify right side
    214,408.35x = 35,181,910,847.31
  5. Step 5: Solve for x
    x = 35,181,910,847.31/214,408.35
  6. Step 6: Final answer
    x = 164,088.34

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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.