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Finding the Fourth Proportional to 102,843.86, 141,924.83 and 57,522.60

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Solution

The fourth proportional to 102,843.86, 141,924.83 and 57,522.60 is: 79,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,843.86 : 141,924.83 = 57,522.60 : x
  2. Step 2: Convert to fraction form
    102,843.86/141,924.83 = 57,522.60/x
  3. Step 3: Cross multiply
    102,843.86x = 141,924.83 × 57,522.60
  4. Step 4: Simplify right side
    102,843.86x = 8,163,884,938.55
  5. Step 5: Solve for x
    x = 8,163,884,938.55/102,843.86
  6. Step 6: Final answer
    x = 79,381.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.