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Finding the Fourth Proportional to 183,692.48, 275,567.52 and 78,512

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Solution

The fourth proportional to 183,692.48, 275,567.52 and 78,512 is: 117,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,692.48 : 275,567.52 = 78,512 : x
  2. Step 2: Convert to fraction form
    183,692.48/275,567.52 = 78,512/x
  3. Step 3: Cross multiply
    183,692.48x = 275,567.52 × 78,512
  4. Step 4: Simplify right side
    183,692.48x = 21,635,357,130.24
  5. Step 5: Solve for x
    x = 21,635,357,130.24/183,692.48
  6. Step 6: Final answer
    x = 117,780.31

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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.