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Finding the Fourth Proportional to 216,003.90, 323,962.65 and 103,683.90

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Solution

The fourth proportional to 216,003.90, 323,962.65 and 103,683.90 is: 155,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,003.90 : 323,962.65 = 103,683.90 : x
  2. Step 2: Convert to fraction form
    216,003.90/323,962.65 = 103,683.90/x
  3. Step 3: Cross multiply
    216,003.90x = 323,962.65 × 103,683.90
  4. Step 4: Simplify right side
    216,003.90x = 33,589,711,006.34
  5. Step 5: Solve for x
    x = 33,589,711,006.34/216,003.90
  6. Step 6: Final answer
    x = 155,505.11

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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.