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Finding the Fourth Proportional to 234,000.34, 322,920.53 and 132,047.46

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Solution

The fourth proportional to 234,000.34, 322,920.53 and 132,047.46 is: 182,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,000.34 : 322,920.53 = 132,047.46 : x
  2. Step 2: Convert to fraction form
    234,000.34/322,920.53 = 132,047.46/x
  3. Step 3: Cross multiply
    234,000.34x = 322,920.53 × 132,047.46
  4. Step 4: Simplify right side
    234,000.34x = 42,640,835,768.35
  5. Step 5: Solve for x
    x = 42,640,835,768.35/234,000.34
  6. Step 6: Final answer
    x = 182,225.53

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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.