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Finding the Fourth Proportional to 201,656.40, 278,535.15 and 147,856.20

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Solution

The fourth proportional to 201,656.40, 278,535.15 and 147,856.20 is: 204,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656.40 : 278,535.15 = 147,856.20 : x
  2. Step 2: Convert to fraction form
    201,656.40/278,535.15 = 147,856.20/x
  3. Step 3: Cross multiply
    201,656.40x = 278,535.15 × 147,856.20
  4. Step 4: Simplify right side
    201,656.40x = 41,183,148,845.43
  5. Step 5: Solve for x
    x = 41,183,148,845.43/201,656.40
  6. Step 6: Final answer
    x = 204,224.36

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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.