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Finding the Fourth Proportional to 175,803.96, 263,706.42 and 42,683.64

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Solution

The fourth proportional to 175,803.96, 263,706.42 and 42,683.64 is: 64,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,803.96 : 263,706.42 = 42,683.64 : x
  2. Step 2: Convert to fraction form
    175,803.96/263,706.42 = 42,683.64/x
  3. Step 3: Cross multiply
    175,803.96x = 263,706.42 × 42,683.64
  4. Step 4: Simplify right side
    175,803.96x = 11,255,949,896.97
  5. Step 5: Solve for x
    x = 11,255,949,896.97/175,803.96
  6. Step 6: Final answer
    x = 64,025.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.