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Finding the Fourth Proportional to 230,661.16, 318,323.46 and 130,057

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Solution

The fourth proportional to 230,661.16, 318,323.46 and 130,057 is: 179,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,661.16 : 318,323.46 = 130,057 : x
  2. Step 2: Convert to fraction form
    230,661.16/318,323.46 = 130,057/x
  3. Step 3: Cross multiply
    230,661.16x = 318,323.46 × 130,057
  4. Step 4: Simplify right side
    230,661.16x = 41,400,194,237.22
  5. Step 5: Solve for x
    x = 41,400,194,237.22/230,661.16
  6. Step 6: Final answer
    x = 179,484.90

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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.