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Finding the Fourth Proportional to 283,642.60, 425,435.10 and 96,651.40

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Solution

The fourth proportional to 283,642.60, 425,435.10 and 96,651.40 is: 144,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,642.60 : 425,435.10 = 96,651.40 : x
  2. Step 2: Convert to fraction form
    283,642.60/425,435.10 = 96,651.40/x
  3. Step 3: Cross multiply
    283,642.60x = 425,435.10 × 96,651.40
  4. Step 4: Simplify right side
    283,642.60x = 41,118,898,024.14
  5. Step 5: Solve for x
    x = 41,118,898,024.14/283,642.60
  6. Step 6: Final answer
    x = 144,967.29

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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.