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Finding the Fourth Proportional to 107,164.96, 160,756.18 and 53,829.50

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Solution

The fourth proportional to 107,164.96, 160,756.18 and 53,829.50 is: 80,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164.96 : 160,756.18 = 53,829.50 : x
  2. Step 2: Convert to fraction form
    107,164.96/160,756.18 = 53,829.50/x
  3. Step 3: Cross multiply
    107,164.96x = 160,756.18 × 53,829.50
  4. Step 4: Simplify right side
    107,164.96x = 8,653,423,852.96
  5. Step 5: Solve for x
    x = 8,653,423,852.96/107,164.96
  6. Step 6: Final answer
    x = 80,748.63

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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.