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Finding the Fourth Proportional to 283,325.68, 425,066.13 and 83,646

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Solution

The fourth proportional to 283,325.68, 425,066.13 and 83,646 is: 125,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,325.68 : 425,066.13 = 83,646 : x
  2. Step 2: Convert to fraction form
    283,325.68/425,066.13 = 83,646/x
  3. Step 3: Cross multiply
    283,325.68x = 425,066.13 × 83,646
  4. Step 4: Simplify right side
    283,325.68x = 35,555,081,509.98
  5. Step 5: Solve for x
    x = 35,555,081,509.98/283,325.68
  6. Step 6: Final answer
    x = 125,491.91

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