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Finding the Fourth Proportional to 489,051.96, 733,683.51 and 152,086.02

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Solution

The fourth proportional to 489,051.96, 733,683.51 and 152,086.02 is: 228,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,051.96 : 733,683.51 = 152,086.02 : x
  2. Step 2: Convert to fraction form
    489,051.96/733,683.51 = 152,086.02/x
  3. Step 3: Cross multiply
    489,051.96x = 733,683.51 × 152,086.02
  4. Step 4: Simplify right side
    489,051.96x = 111,583,004,975.53
  5. Step 5: Solve for x
    x = 111,583,004,975.53/489,051.96
  6. Step 6: Final answer
    x = 228,161.86

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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.