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Finding the Fourth Proportional to 180,389.94, 270,678.29 and 130,878.69

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Solution

The fourth proportional to 180,389.94, 270,678.29 and 130,878.69 is: 196,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.94 : 270,678.29 = 130,878.69 : x
  2. Step 2: Convert to fraction form
    180,389.94/270,678.29 = 130,878.69/x
  3. Step 3: Cross multiply
    180,389.94x = 270,678.29 × 130,878.69
  4. Step 4: Simplify right side
    180,389.94x = 35,426,019,352.25
  5. Step 5: Solve for x
    x = 35,426,019,352.25/180,389.94
  6. Step 6: Final answer
    x = 196,385.78

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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.