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Finding the Fourth Proportional to 107,317.60, 160,822.80 and 74,447.20

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Solution

The fourth proportional to 107,317.60, 160,822.80 and 74,447.20 is: 111,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,317.60 : 160,822.80 = 74,447.20 : x
  2. Step 2: Convert to fraction form
    107,317.60/160,822.80 = 74,447.20/x
  3. Step 3: Cross multiply
    107,317.60x = 160,822.80 × 74,447.20
  4. Step 4: Simplify right side
    107,317.60x = 11,972,807,156.16
  5. Step 5: Solve for x
    x = 11,972,807,156.16/107,317.60
  6. Step 6: Final answer
    x = 111,564.25

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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.