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Finding the Fourth Proportional to 78,824.80, 118,237.20 and 71,567.20

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Solution

The fourth proportional to 78,824.80, 118,237.20 and 71,567.20 is: 107,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.80 : 118,237.20 = 71,567.20 : x
  2. Step 2: Convert to fraction form
    78,824.80/118,237.20 = 71,567.20/x
  3. Step 3: Cross multiply
    78,824.80x = 118,237.20 × 71,567.20
  4. Step 4: Simplify right side
    78,824.80x = 8,461,905,339.84
  5. Step 5: Solve for x
    x = 8,461,905,339.84/78,824.80
  6. Step 6: Final answer
    x = 107,350.80

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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.