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Finding the Fourth Proportional to 201,998.83, 278,758.32 and 111,356.34

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Solution

The fourth proportional to 201,998.83, 278,758.32 and 111,356.34 is: 153,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,998.83 : 278,758.32 = 111,356.34 : x
  2. Step 2: Convert to fraction form
    201,998.83/278,758.32 = 111,356.34/x
  3. Step 3: Cross multiply
    201,998.83x = 278,758.32 × 111,356.34
  4. Step 4: Simplify right side
    201,998.83x = 31,041,506,259.75
  5. Step 5: Solve for x
    x = 31,041,506,259.75/201,998.83
  6. Step 6: Final answer
    x = 153,671.71

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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.