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Finding the Fourth Proportional to 212,714.10, 319,071.15 and 194,999.40

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Solution

The fourth proportional to 212,714.10, 319,071.15 and 194,999.40 is: 292,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,714.10 : 319,071.15 = 194,999.40 : x
  2. Step 2: Convert to fraction form
    212,714.10/319,071.15 = 194,999.40/x
  3. Step 3: Cross multiply
    212,714.10x = 319,071.15 × 194,999.40
  4. Step 4: Simplify right side
    212,714.10x = 62,218,682,807.31
  5. Step 5: Solve for x
    x = 62,218,682,807.31/212,714.10
  6. Step 6: Final answer
    x = 292,499.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.