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Finding the Fourth Proportional to 105,877.99, 158,783.26 and 34,784.12

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Solution

The fourth proportional to 105,877.99, 158,783.26 and 34,784.12 is: 52,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,877.99 : 158,783.26 = 34,784.12 : x
  2. Step 2: Convert to fraction form
    105,877.99/158,783.26 = 34,784.12/x
  3. Step 3: Cross multiply
    105,877.99x = 158,783.26 × 34,784.12
  4. Step 4: Simplify right side
    105,877.99x = 5,523,135,795.91
  5. Step 5: Solve for x
    x = 5,523,135,795.91/105,877.99
  6. Step 6: Final answer
    x = 52,165.10

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Why These Related Problems?

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