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Finding the Fourth Proportional to 128,643.32, 177,540.93 and 74,197.64

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Solution

The fourth proportional to 128,643.32, 177,540.93 and 74,197.64 is: 102,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,643.32 : 177,540.93 = 74,197.64 : x
  2. Step 2: Convert to fraction form
    128,643.32/177,540.93 = 74,197.64/x
  3. Step 3: Cross multiply
    128,643.32x = 177,540.93 × 74,197.64
  4. Step 4: Simplify right side
    128,643.32x = 13,173,118,009.41
  5. Step 5: Solve for x
    x = 13,173,118,009.41/128,643.32
  6. Step 6: Final answer
    x = 102,400.33

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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.