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Finding the Fourth Proportional to 142,806.40, 214,209.60 and 54,062.80

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Solution

The fourth proportional to 142,806.40, 214,209.60 and 54,062.80 is: 81,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,806.40 : 214,209.60 = 54,062.80 : x
  2. Step 2: Convert to fraction form
    142,806.40/214,209.60 = 54,062.80/x
  3. Step 3: Cross multiply
    142,806.40x = 214,209.60 × 54,062.80
  4. Step 4: Simplify right side
    142,806.40x = 11,580,770,762.88
  5. Step 5: Solve for x
    x = 11,580,770,762.88/142,806.40
  6. Step 6: Final answer
    x = 81,094.20

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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.