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Finding the Fourth Proportional to 144,024.40, 215,939.40 and 76,567.60

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Solution

The fourth proportional to 144,024.40, 215,939.40 and 76,567.60 is: 114,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,024.40 : 215,939.40 = 76,567.60 : x
  2. Step 2: Convert to fraction form
    144,024.40/215,939.40 = 76,567.60/x
  3. Step 3: Cross multiply
    144,024.40x = 215,939.40 × 76,567.60
  4. Step 4: Simplify right side
    144,024.40x = 16,533,961,603.44
  5. Step 5: Solve for x
    x = 16,533,961,603.44/144,024.40
  6. Step 6: Final answer
    x = 114,799.73

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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.