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Finding the Fourth Proportional to 212,106.76, 292,709.22 and 115,310.80

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Solution

The fourth proportional to 212,106.76, 292,709.22 and 115,310.80 is: 159,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,106.76 : 292,709.22 = 115,310.80 : x
  2. Step 2: Convert to fraction form
    212,106.76/292,709.22 = 115,310.80/x
  3. Step 3: Cross multiply
    212,106.76x = 292,709.22 × 115,310.80
  4. Step 4: Simplify right side
    212,106.76x = 33,752,534,325.58
  5. Step 5: Solve for x
    x = 33,752,534,325.58/212,106.76
  6. Step 6: Final answer
    x = 159,129.93

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