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Finding the Fourth Proportional to 256,032.96, 383,987.52 and 113,799.84

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Solution

The fourth proportional to 256,032.96, 383,987.52 and 113,799.84 is: 170,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,032.96 : 383,987.52 = 113,799.84 : x
  2. Step 2: Convert to fraction form
    256,032.96/383,987.52 = 113,799.84/x
  3. Step 3: Cross multiply
    256,032.96x = 383,987.52 × 113,799.84
  4. Step 4: Simplify right side
    256,032.96x = 43,697,718,338.00
  5. Step 5: Solve for x
    x = 43,697,718,338.00/256,032.96
  6. Step 6: Final answer
    x = 170,672.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.