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Finding the Fourth Proportional to 232,801.50, 321,266.07 and 126,817.50

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Solution

The fourth proportional to 232,801.50, 321,266.07 and 126,817.50 is: 175,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,801.50 : 321,266.07 = 126,817.50 : x
  2. Step 2: Convert to fraction form
    232,801.50/321,266.07 = 126,817.50/x
  3. Step 3: Cross multiply
    232,801.50x = 321,266.07 × 126,817.50
  4. Step 4: Simplify right side
    232,801.50x = 40,742,159,832.23
  5. Step 5: Solve for x
    x = 40,742,159,832.23/232,801.50
  6. Step 6: Final answer
    x = 175,008.15

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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.