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Finding the Fourth Proportional to 107,077.70, 160,441.32 and 64,829.72

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Solution

The fourth proportional to 107,077.70, 160,441.32 and 64,829.72 is: 97,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,077.70 : 160,441.32 = 64,829.72 : x
  2. Step 2: Convert to fraction form
    107,077.70/160,441.32 = 64,829.72/x
  3. Step 3: Cross multiply
    107,077.70x = 160,441.32 × 64,829.72
  4. Step 4: Simplify right side
    107,077.70x = 10,401,365,852.03
  5. Step 5: Solve for x
    x = 10,401,365,852.03/107,077.70
  6. Step 6: Final answer
    x = 97,138.49

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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.