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Finding the Fourth Proportional to 102,094.52, 140,893.65 and 56,774.42

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Solution

The fourth proportional to 102,094.52, 140,893.65 and 56,774.42 is: 78,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.52 : 140,893.65 = 56,774.42 : x
  2. Step 2: Convert to fraction form
    102,094.52/140,893.65 = 56,774.42/x
  3. Step 3: Cross multiply
    102,094.52x = 140,893.65 × 56,774.42
  4. Step 4: Simplify right side
    102,094.52x = 7,999,154,555.96
  5. Step 5: Solve for x
    x = 7,999,154,555.96/102,094.52
  6. Step 6: Final answer
    x = 78,350.48

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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.