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Finding the Fourth Proportional to 214,485.24, 295,965.90 and 118,968.12

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Solution

The fourth proportional to 214,485.24, 295,965.90 and 118,968.12 is: 164,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,485.24 : 295,965.90 = 118,968.12 : x
  2. Step 2: Convert to fraction form
    214,485.24/295,965.90 = 118,968.12/x
  3. Step 3: Cross multiply
    214,485.24x = 295,965.90 × 118,968.12
  4. Step 4: Simplify right side
    214,485.24x = 35,210,506,707.11
  5. Step 5: Solve for x
    x = 35,210,506,707.11/214,485.24
  6. Step 6: Final answer
    x = 164,162.84

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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.