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Finding the Fourth Proportional to 116,999.19, 175,353.19 and 56,978.60

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Solution

The fourth proportional to 116,999.19, 175,353.19 and 56,978.60 is: 85,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,999.19 : 175,353.19 = 56,978.60 : x
  2. Step 2: Convert to fraction form
    116,999.19/175,353.19 = 56,978.60/x
  3. Step 3: Cross multiply
    116,999.19x = 175,353.19 × 56,978.60
  4. Step 4: Simplify right side
    116,999.19x = 9,991,378,110.08
  5. Step 5: Solve for x
    x = 9,991,378,110.08/116,999.19
  6. Step 6: Final answer
    x = 85,396.99

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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.