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Finding the Fourth Proportional to 230,807.42, 318,567.38 and 135,344.87

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Solution

The fourth proportional to 230,807.42, 318,567.38 and 135,344.87 is: 186,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,807.42 : 318,567.38 = 135,344.87 : x
  2. Step 2: Convert to fraction form
    230,807.42/318,567.38 = 135,344.87/x
  3. Step 3: Cross multiply
    230,807.42x = 318,567.38 × 135,344.87
  4. Step 4: Simplify right side
    230,807.42x = 43,116,458,701.14
  5. Step 5: Solve for x
    x = 43,116,458,701.14/230,807.42
  6. Step 6: Final answer
    x = 186,807.08

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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.