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Finding the Fourth Proportional to 102,524.57, 141,483.71 and 57,199.86

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Solution

The fourth proportional to 102,524.57, 141,483.71 and 57,199.86 is: 78,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524.57 : 141,483.71 = 57,199.86 : x
  2. Step 2: Convert to fraction form
    102,524.57/141,483.71 = 57,199.86/x
  3. Step 3: Cross multiply
    102,524.57x = 141,483.71 × 57,199.86
  4. Step 4: Simplify right side
    102,524.57x = 8,092,848,118.28
  5. Step 5: Solve for x
    x = 8,092,848,118.28/102,524.57
  6. Step 6: Final answer
    x = 78,935.70

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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.