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Finding the Fourth Proportional to 201,406.86, 301,453.17 and 148,084.70

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Solution

The fourth proportional to 201,406.86, 301,453.17 and 148,084.70 is: 221,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.86 : 301,453.17 = 148,084.70 : x
  2. Step 2: Convert to fraction form
    201,406.86/301,453.17 = 148,084.70/x
  3. Step 3: Cross multiply
    201,406.86x = 301,453.17 × 148,084.70
  4. Step 4: Simplify right side
    201,406.86x = 44,640,602,243.50
  5. Step 5: Solve for x
    x = 44,640,602,243.50/201,406.86
  6. Step 6: Final answer
    x = 221,643.90

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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.