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Finding the Fourth Proportional to 120,151.05, 165,812.87 and 77,709.58

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Solution

The fourth proportional to 120,151.05, 165,812.87 and 77,709.58 is: 107,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,151.05 : 165,812.87 = 77,709.58 : x
  2. Step 2: Convert to fraction form
    120,151.05/165,812.87 = 77,709.58/x
  3. Step 3: Cross multiply
    120,151.05x = 165,812.87 × 77,709.58
  4. Step 4: Simplify right side
    120,151.05x = 12,885,248,266.04
  5. Step 5: Solve for x
    x = 12,885,248,266.04/120,151.05
  6. Step 6: Final answer
    x = 107,242.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.