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Finding the Fourth Proportional to 102,414.22, 153,557.07 and 31,313.23

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Solution

The fourth proportional to 102,414.22, 153,557.07 and 31,313.23 is: 46,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414.22 : 153,557.07 = 31,313.23 : x
  2. Step 2: Convert to fraction form
    102,414.22/153,557.07 = 31,313.23/x
  3. Step 3: Cross multiply
    102,414.22x = 153,557.07 × 31,313.23
  4. Step 4: Simplify right side
    102,414.22x = 4,808,367,851.04
  5. Step 5: Solve for x
    x = 4,808,367,851.04/102,414.22
  6. Step 6: Final answer
    x = 46,950.20

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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.