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Finding the Fourth Proportional to 189,970.34, 262,158 and 105,085.58

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Solution

The fourth proportional to 189,970.34, 262,158 and 105,085.58 is: 145,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970.34 : 262,158 = 105,085.58 : x
  2. Step 2: Convert to fraction form
    189,970.34/262,158 = 105,085.58/x
  3. Step 3: Cross multiply
    189,970.34x = 262,158 × 105,085.58
  4. Step 4: Simplify right side
    189,970.34x = 27,549,025,481.64
  5. Step 5: Solve for x
    x = 27,549,025,481.64/189,970.34
  6. Step 6: Final answer
    x = 145,017.51

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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.