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Finding the Fourth Proportional to 212,780.34, 319,292.19 and 107,607.06

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Solution

The fourth proportional to 212,780.34, 319,292.19 and 107,607.06 is: 161,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,780.34 : 319,292.19 = 107,607.06 : x
  2. Step 2: Convert to fraction form
    212,780.34/319,292.19 = 107,607.06/x
  3. Step 3: Cross multiply
    212,780.34x = 319,292.19 × 107,607.06
  4. Step 4: Simplify right side
    212,780.34x = 34,358,093,846.86
  5. Step 5: Solve for x
    x = 34,358,093,846.86/212,780.34
  6. Step 6: Final answer
    x = 161,472.13

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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.