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Finding the Fourth Proportional to 202,054.80, 303,265.80 and 102,284.40

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Solution

The fourth proportional to 202,054.80, 303,265.80 and 102,284.40 is: 153,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.80 : 303,265.80 = 102,284.40 : x
  2. Step 2: Convert to fraction form
    202,054.80/303,265.80 = 102,284.40/x
  3. Step 3: Cross multiply
    202,054.80x = 303,265.80 × 102,284.40
  4. Step 4: Simplify right side
    202,054.80x = 31,019,360,393.52
  5. Step 5: Solve for x
    x = 31,019,360,393.52/202,054.80
  6. Step 6: Final answer
    x = 153,519.54

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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.