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Finding the Fourth Proportional to 189,706.32, 261,337.19 and 162,395.55

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Solution

The fourth proportional to 189,706.32, 261,337.19 and 162,395.55 is: 223,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.32 : 261,337.19 = 162,395.55 : x
  2. Step 2: Convert to fraction form
    189,706.32/261,337.19 = 162,395.55/x
  3. Step 3: Cross multiply
    189,706.32x = 261,337.19 × 162,395.55
  4. Step 4: Simplify right side
    189,706.32x = 42,439,995,893.53
  5. Step 5: Solve for x
    x = 42,439,995,893.53/189,706.32
  6. Step 6: Final answer
    x = 223,714.19

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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.