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Finding the Fourth Proportional to 283,810.74, 425,749.05 and 94,288.02

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Solution

The fourth proportional to 283,810.74, 425,749.05 and 94,288.02 is: 141,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,810.74 : 425,749.05 = 94,288.02 : x
  2. Step 2: Convert to fraction form
    283,810.74/425,749.05 = 94,288.02/x
  3. Step 3: Cross multiply
    283,810.74x = 425,749.05 × 94,288.02
  4. Step 4: Simplify right side
    283,810.74x = 40,143,034,941.38
  5. Step 5: Solve for x
    x = 40,143,034,941.38/283,810.74
  6. Step 6: Final answer
    x = 141,442.97

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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.