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Finding the Fourth Proportional to 160,683.71, 241,052.90 and 55,478.07

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Solution

The fourth proportional to 160,683.71, 241,052.90 and 55,478.07 is: 83,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,683.71 : 241,052.90 = 55,478.07 : x
  2. Step 2: Convert to fraction form
    160,683.71/241,052.90 = 55,478.07/x
  3. Step 3: Cross multiply
    160,683.71x = 241,052.90 × 55,478.07
  4. Step 4: Simplify right side
    160,683.71x = 13,373,149,382.51
  5. Step 5: Solve for x
    x = 13,373,149,382.51/160,683.71
  6. Step 6: Final answer
    x = 83,226.54

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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.