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Finding the Fourth Proportional to 102,300.34, 153,473.41 and 31,229.30

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Solution

The fourth proportional to 102,300.34, 153,473.41 and 31,229.30 is: 46,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,300.34 : 153,473.41 = 31,229.30 : x
  2. Step 2: Convert to fraction form
    102,300.34/153,473.41 = 31,229.30/x
  3. Step 3: Cross multiply
    102,300.34x = 153,473.41 × 31,229.30
  4. Step 4: Simplify right side
    102,300.34x = 4,792,866,701.16
  5. Step 5: Solve for x
    x = 4,792,866,701.16/102,300.34
  6. Step 6: Final answer
    x = 46,850.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.