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Finding the Fourth Proportional to 167,200.64, 230,509.04 and 119,370.80

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Solution

The fourth proportional to 167,200.64, 230,509.04 and 119,370.80 is: 164,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,200.64 : 230,509.04 = 119,370.80 : x
  2. Step 2: Convert to fraction form
    167,200.64/230,509.04 = 119,370.80/x
  3. Step 3: Cross multiply
    167,200.64x = 230,509.04 × 119,370.80
  4. Step 4: Simplify right side
    167,200.64x = 27,516,048,512.03
  5. Step 5: Solve for x
    x = 27,516,048,512.03/167,200.64
  6. Step 6: Final answer
    x = 164,569.04

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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.