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Finding the Fourth Proportional to 214,150.96, 295,518.48 and 117,354.32

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Solution

The fourth proportional to 214,150.96, 295,518.48 and 117,354.32 is: 161,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150.96 : 295,518.48 = 117,354.32 : x
  2. Step 2: Convert to fraction form
    214,150.96/295,518.48 = 117,354.32/x
  3. Step 3: Cross multiply
    214,150.96x = 295,518.48 × 117,354.32
  4. Step 4: Simplify right side
    214,150.96x = 34,680,370,267.83
  5. Step 5: Solve for x
    x = 34,680,370,267.83/214,150.96
  6. Step 6: Final answer
    x = 161,943.57

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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.