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Finding the Fourth Proportional to 230,258.14, 317,779.60 and 128,300.20

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Solution

The fourth proportional to 230,258.14, 317,779.60 and 128,300.20 is: 177,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,258.14 : 317,779.60 = 128,300.20 : x
  2. Step 2: Convert to fraction form
    230,258.14/317,779.60 = 128,300.20/x
  3. Step 3: Cross multiply
    230,258.14x = 317,779.60 × 128,300.20
  4. Step 4: Simplify right side
    230,258.14x = 40,771,186,235.92
  5. Step 5: Solve for x
    x = 40,771,186,235.92/230,258.14
  6. Step 6: Final answer
    x = 177,067.30

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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.