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Finding the Fourth Proportional to 141,563.82, 212,419.96 and 57,332.94

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Solution

The fourth proportional to 141,563.82, 212,419.96 and 57,332.94 is: 86,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,563.82 : 212,419.96 = 57,332.94 : x
  2. Step 2: Convert to fraction form
    141,563.82/212,419.96 = 57,332.94/x
  3. Step 3: Cross multiply
    141,563.82x = 212,419.96 × 57,332.94
  4. Step 4: Simplify right side
    141,563.82x = 12,178,660,821.48
  5. Step 5: Solve for x
    x = 12,178,660,821.48/141,563.82
  6. Step 6: Final answer
    x = 86,029.47

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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.