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Finding the Fourth Proportional to 201,944.16, 278,684.94 and 111,303.48

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Solution

The fourth proportional to 201,944.16, 278,684.94 and 111,303.48 is: 153,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,944.16 : 278,684.94 = 111,303.48 : x
  2. Step 2: Convert to fraction form
    201,944.16/278,684.94 = 111,303.48/x
  3. Step 3: Cross multiply
    201,944.16x = 278,684.94 × 111,303.48
  4. Step 4: Simplify right side
    201,944.16x = 31,018,603,645.59
  5. Step 5: Solve for x
    x = 31,018,603,645.59/201,944.16
  6. Step 6: Final answer
    x = 153,599.90

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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.