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Finding the Fourth Proportional to 141,854.76, 212,782.26 and 35,238.60

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Solution

The fourth proportional to 141,854.76, 212,782.26 and 35,238.60 is: 52,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,854.76 : 212,782.26 = 35,238.60 : x
  2. Step 2: Convert to fraction form
    141,854.76/212,782.26 = 35,238.60/x
  3. Step 3: Cross multiply
    141,854.76x = 212,782.26 × 35,238.60
  4. Step 4: Simplify right side
    141,854.76x = 7,498,148,947.24
  5. Step 5: Solve for x
    x = 7,498,148,947.24/141,854.76
  6. Step 6: Final answer
    x = 52,857.93

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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.