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Finding the Fourth Proportional to 233,712.98, 322,452.21 and 142,974.35

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Solution

The fourth proportional to 233,712.98, 322,452.21 and 142,974.35 is: 197,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712.98 : 322,452.21 = 142,974.35 : x
  2. Step 2: Convert to fraction form
    233,712.98/322,452.21 = 142,974.35/x
  3. Step 3: Cross multiply
    233,712.98x = 322,452.21 × 142,974.35
  4. Step 4: Simplify right side
    233,712.98x = 46,102,393,518.55
  5. Step 5: Solve for x
    x = 46,102,393,518.55/233,712.98
  6. Step 6: Final answer
    x = 197,260.74

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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.