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Finding the Fourth Proportional to 149,580.20, 224,492.70 and 148,413.80

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Solution

The fourth proportional to 149,580.20, 224,492.70 and 148,413.80 is: 222,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,580.20 : 224,492.70 = 148,413.80 : x
  2. Step 2: Convert to fraction form
    149,580.20/224,492.70 = 148,413.80/x
  3. Step 3: Cross multiply
    149,580.20x = 224,492.70 × 148,413.80
  4. Step 4: Simplify right side
    149,580.20x = 33,317,814,679.26
  5. Step 5: Solve for x
    x = 33,317,814,679.26/149,580.20
  6. Step 6: Final answer
    x = 222,742.15

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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.