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Finding the Fourth Proportional to 128,439.32, 177,317.52 and 77,464.91

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Solution

The fourth proportional to 128,439.32, 177,317.52 and 77,464.91 is: 106,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,439.32 : 177,317.52 = 77,464.91 : x
  2. Step 2: Convert to fraction form
    128,439.32/177,317.52 = 77,464.91/x
  3. Step 3: Cross multiply
    128,439.32x = 177,317.52 × 77,464.91
  4. Step 4: Simplify right side
    128,439.32x = 13,735,884,841.64
  5. Step 5: Solve for x
    x = 13,735,884,841.64/128,439.32
  6. Step 6: Final answer
    x = 106,944.54

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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.