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Finding the Fourth Proportional to 201,852.55, 278,555.21 and 111,206.42

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Solution

The fourth proportional to 201,852.55, 278,555.21 and 111,206.42 is: 153,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.55 : 278,555.21 = 111,206.42 : x
  2. Step 2: Convert to fraction form
    201,852.55/278,555.21 = 111,206.42/x
  3. Step 3: Cross multiply
    201,852.55x = 278,555.21 × 111,206.42
  4. Step 4: Simplify right side
    201,852.55x = 30,977,126,283.67
  5. Step 5: Solve for x
    x = 30,977,126,283.67/201,852.55
  6. Step 6: Final answer
    x = 153,464.14

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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.