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Finding the Fourth Proportional to 141,783.12, 212,324.48 and 105,673

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Solution

The fourth proportional to 141,783.12, 212,324.48 and 105,673 is: 158,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,783.12 : 212,324.48 = 105,673 : x
  2. Step 2: Convert to fraction form
    141,783.12/212,324.48 = 105,673/x
  3. Step 3: Cross multiply
    141,783.12x = 212,324.48 × 105,673
  4. Step 4: Simplify right side
    141,783.12x = 22,436,964,775.04
  5. Step 5: Solve for x
    x = 22,436,964,775.04/141,783.12
  6. Step 6: Final answer
    x = 158,248.49

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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.