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Finding the Fourth Proportional to 78,846.40, 118,269.60 and 71,070.40

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Solution

The fourth proportional to 78,846.40, 118,269.60 and 71,070.40 is: 106,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846.40 : 118,269.60 = 71,070.40 : x
  2. Step 2: Convert to fraction form
    78,846.40/118,269.60 = 71,070.40/x
  3. Step 3: Cross multiply
    78,846.40x = 118,269.60 × 71,070.40
  4. Step 4: Simplify right side
    78,846.40x = 8,405,467,779.84
  5. Step 5: Solve for x
    x = 8,405,467,779.84/78,846.40
  6. Step 6: Final answer
    x = 106,605.60

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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.