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Finding the Fourth Proportional to 283,633.60, 425,421.60 and 96,642.40

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Solution

The fourth proportional to 283,633.60, 425,421.60 and 96,642.40 is: 144,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,633.60 : 425,421.60 = 96,642.40 : x
  2. Step 2: Convert to fraction form
    283,633.60/425,421.60 = 96,642.40/x
  3. Step 3: Cross multiply
    283,633.60x = 425,421.60 × 96,642.40
  4. Step 4: Simplify right side
    283,633.60x = 41,113,764,435.84
  5. Step 5: Solve for x
    x = 41,113,764,435.84/283,633.60
  6. Step 6: Final answer
    x = 144,953.79

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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.