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Finding the Fourth Proportional to 230,772.84, 318,466.35 and 130,170.84

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Solution

The fourth proportional to 230,772.84, 318,466.35 and 130,170.84 is: 179,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,772.84 : 318,466.35 = 130,170.84 : x
  2. Step 2: Convert to fraction form
    230,772.84/318,466.35 = 130,170.84/x
  3. Step 3: Cross multiply
    230,772.84x = 318,466.35 × 130,170.84
  4. Step 4: Simplify right side
    230,772.84x = 41,455,032,291.23
  5. Step 5: Solve for x
    x = 41,455,032,291.23/230,772.84
  6. Step 6: Final answer
    x = 179,635.66

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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.