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Finding the Fourth Proportional to 232,752.96, 321,184.80 and 137,263.68

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Solution

The fourth proportional to 232,752.96, 321,184.80 and 137,263.68 is: 189,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,752.96 : 321,184.80 = 137,263.68 : x
  2. Step 2: Convert to fraction form
    232,752.96/321,184.80 = 137,263.68/x
  3. Step 3: Cross multiply
    232,752.96x = 321,184.80 × 137,263.68
  4. Step 4: Simplify right side
    232,752.96x = 44,087,007,608.06
  5. Step 5: Solve for x
    x = 44,087,007,608.06/232,752.96
  6. Step 6: Final answer
    x = 189,415.45

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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.