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Finding the Fourth Proportional to 212,063.72, 292,651.92 and 116,570.39

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Solution

The fourth proportional to 212,063.72, 292,651.92 and 116,570.39 is: 160,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,063.72 : 292,651.92 = 116,570.39 : x
  2. Step 2: Convert to fraction form
    212,063.72/292,651.92 = 116,570.39/x
  3. Step 3: Cross multiply
    212,063.72x = 292,651.92 × 116,570.39
  4. Step 4: Simplify right side
    212,063.72x = 34,114,546,985.39
  5. Step 5: Solve for x
    x = 34,114,546,985.39/212,063.72
  6. Step 6: Final answer
    x = 160,869.33

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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.