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Finding the Fourth Proportional to 201,683.70, 301,869.45 and 157,068.90

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Solution

The fourth proportional to 201,683.70, 301,869.45 and 157,068.90 is: 235,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683.70 : 301,869.45 = 157,068.90 : x
  2. Step 2: Convert to fraction form
    201,683.70/301,869.45 = 157,068.90/x
  3. Step 3: Cross multiply
    201,683.70x = 301,869.45 × 157,068.90
  4. Step 4: Simplify right side
    201,683.70x = 47,414,302,455.11
  5. Step 5: Solve for x
    x = 47,414,302,455.11/201,683.70
  6. Step 6: Final answer
    x = 235,092.39

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