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Finding the Fourth Proportional to 180,029.94, 270,139.20 and 116,835.18

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Solution

The fourth proportional to 180,029.94, 270,139.20 and 116,835.18 is: 175,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,029.94 : 270,139.20 = 116,835.18 : x
  2. Step 2: Convert to fraction form
    180,029.94/270,139.20 = 116,835.18/x
  3. Step 3: Cross multiply
    180,029.94x = 270,139.20 × 116,835.18
  4. Step 4: Simplify right side
    180,029.94x = 31,561,762,057.06
  5. Step 5: Solve for x
    x = 31,561,762,057.06/180,029.94
  6. Step 6: Final answer
    x = 175,313.96

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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.