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Finding the Fourth Proportional to 283,967.78, 425,955.24 and 94,428.05

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Solution

The fourth proportional to 283,967.78, 425,955.24 and 94,428.05 is: 141,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,967.78 : 425,955.24 = 94,428.05 : x
  2. Step 2: Convert to fraction form
    283,967.78/425,955.24 = 94,428.05/x
  3. Step 3: Cross multiply
    283,967.78x = 425,955.24 × 94,428.05
  4. Step 4: Simplify right side
    283,967.78x = 40,222,120,570.71
  5. Step 5: Solve for x
    x = 40,222,120,570.71/283,967.78
  6. Step 6: Final answer
    x = 141,643.26

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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.