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Finding the Fourth Proportional to 189,433.16, 261,407.54 and 117,811.16

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Solution

The fourth proportional to 189,433.16, 261,407.54 and 117,811.16 is: 162,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,433.16 : 261,407.54 = 117,811.16 : x
  2. Step 2: Convert to fraction form
    189,433.16/261,407.54 = 117,811.16/x
  3. Step 3: Cross multiply
    189,433.16x = 261,407.54 × 117,811.16
  4. Step 4: Simplify right side
    189,433.16x = 30,796,725,520.15
  5. Step 5: Solve for x
    x = 30,796,725,520.15/189,433.16
  6. Step 6: Final answer
    x = 162,573.04

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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.