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Finding the Fourth Proportional to 212,076.30, 292,657.89 and 116,582.31

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Solution

The fourth proportional to 212,076.30, 292,657.89 and 116,582.31 is: 160,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076.30 : 292,657.89 = 116,582.31 : x
  2. Step 2: Convert to fraction form
    212,076.30/292,657.89 = 116,582.31/x
  3. Step 3: Cross multiply
    212,076.30x = 292,657.89 × 116,582.31
  4. Step 4: Simplify right side
    212,076.30x = 34,118,732,855.93
  5. Step 5: Solve for x
    x = 34,118,732,855.93/212,076.30
  6. Step 6: Final answer
    x = 160,879.52

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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.