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Finding the Fourth Proportional to 97,492.82, 146,218.10 and 56,939.22

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Solution

The fourth proportional to 97,492.82, 146,218.10 and 56,939.22 is: 85,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,492.82 : 146,218.10 = 56,939.22 : x
  2. Step 2: Convert to fraction form
    97,492.82/146,218.10 = 56,939.22/x
  3. Step 3: Cross multiply
    97,492.82x = 146,218.10 × 56,939.22
  4. Step 4: Simplify right side
    97,492.82x = 8,325,544,279.19
  5. Step 5: Solve for x
    x = 8,325,544,279.19/97,492.82
  6. Step 6: Final answer
    x = 85,396.49

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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.