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Finding the Fourth Proportional to 76,605.20, 114,907.80 and 75,438.80

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Solution

The fourth proportional to 76,605.20, 114,907.80 and 75,438.80 is: 113,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605.20 : 114,907.80 = 75,438.80 : x
  2. Step 2: Convert to fraction form
    76,605.20/114,907.80 = 75,438.80/x
  3. Step 3: Cross multiply
    76,605.20x = 114,907.80 × 75,438.80
  4. Step 4: Simplify right side
    76,605.20x = 8,668,506,542.64
  5. Step 5: Solve for x
    x = 8,668,506,542.64/76,605.20
  6. Step 6: Final answer
    x = 113,158.20

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1.5x scale

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.