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Finding the Fourth Proportional to 201,396.32, 277,804.56 and 144,884.32

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Solution

The fourth proportional to 201,396.32, 277,804.56 and 144,884.32 is: 199,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,396.32 : 277,804.56 = 144,884.32 : x
  2. Step 2: Convert to fraction form
    201,396.32/277,804.56 = 144,884.32/x
  3. Step 3: Cross multiply
    201,396.32x = 277,804.56 × 144,884.32
  4. Step 4: Simplify right side
    201,396.32x = 40,249,524,768.50
  5. Step 5: Solve for x
    x = 40,249,524,768.50/201,396.32
  6. Step 6: Final answer
    x = 199,852.33

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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.