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Finding the Fourth Proportional to 204,854.40, 282,700.80 and 114,220.80

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Solution

The fourth proportional to 204,854.40, 282,700.80 and 114,220.80 is: 157,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,854.40 : 282,700.80 = 114,220.80 : x
  2. Step 2: Convert to fraction form
    204,854.40/282,700.80 = 114,220.80/x
  3. Step 3: Cross multiply
    204,854.40x = 282,700.80 × 114,220.80
  4. Step 4: Simplify right side
    204,854.40x = 32,290,311,536.64
  5. Step 5: Solve for x
    x = 32,290,311,536.64/204,854.40
  6. Step 6: Final answer
    x = 157,625.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.