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Finding the Fourth Proportional to 230,538.36, 318,022 and 187,565.88

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Solution

The fourth proportional to 230,538.36, 318,022 and 187,565.88 is: 258,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,538.36 : 318,022 = 187,565.88 : x
  2. Step 2: Convert to fraction form
    230,538.36/318,022 = 187,565.88/x
  3. Step 3: Cross multiply
    230,538.36x = 318,022 × 187,565.88
  4. Step 4: Simplify right side
    230,538.36x = 59,650,076,289.36
  5. Step 5: Solve for x
    x = 59,650,076,289.36/230,538.36
  6. Step 6: Final answer
    x = 258,742.52

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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.