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Finding the Fourth Proportional to 180,406.26, 270,463.59 and 75,303.90

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Solution

The fourth proportional to 180,406.26, 270,463.59 and 75,303.90 is: 112,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,406.26 : 270,463.59 = 75,303.90 : x
  2. Step 2: Convert to fraction form
    180,406.26/270,463.59 = 75,303.90/x
  3. Step 3: Cross multiply
    180,406.26x = 270,463.59 × 75,303.90
  4. Step 4: Simplify right side
    180,406.26x = 20,366,963,135.00
  5. Step 5: Solve for x
    x = 20,366,963,135.00/180,406.26
  6. Step 6: Final answer
    x = 112,894.99

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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.