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Finding the Fourth Proportional to 116,692.20, 175,038.30 and 57,643.20

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Solution

The fourth proportional to 116,692.20, 175,038.30 and 57,643.20 is: 86,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,692.20 : 175,038.30 = 57,643.20 : x
  2. Step 2: Convert to fraction form
    116,692.20/175,038.30 = 57,643.20/x
  3. Step 3: Cross multiply
    116,692.20x = 175,038.30 × 57,643.20
  4. Step 4: Simplify right side
    116,692.20x = 10,089,767,734.56
  5. Step 5: Solve for x
    x = 10,089,767,734.56/116,692.20
  6. Step 6: Final answer
    x = 86,464.80

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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.