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Finding the Fourth Proportional to 232,343.64, 320,632.74 and 128,976.72

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Solution

The fourth proportional to 232,343.64, 320,632.74 and 128,976.72 is: 177,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,343.64 : 320,632.74 = 128,976.72 : x
  2. Step 2: Convert to fraction form
    232,343.64/320,632.74 = 128,976.72/x
  3. Step 3: Cross multiply
    232,343.64x = 320,632.74 × 128,976.72
  4. Step 4: Simplify right side
    232,343.64x = 41,354,159,129.81
  5. Step 5: Solve for x
    x = 41,354,159,129.81/232,343.64
  6. Step 6: Final answer
    x = 177,987.05

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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.