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Finding the Fourth Proportional to 174,456.30, 261,684.45 and 156,960.30

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Solution

The fourth proportional to 174,456.30, 261,684.45 and 156,960.30 is: 235,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,456.30 : 261,684.45 = 156,960.30 : x
  2. Step 2: Convert to fraction form
    174,456.30/261,684.45 = 156,960.30/x
  3. Step 3: Cross multiply
    174,456.30x = 261,684.45 × 156,960.30
  4. Step 4: Simplify right side
    174,456.30x = 41,074,069,777.34
  5. Step 5: Solve for x
    x = 41,074,069,777.34/174,456.30
  6. Step 6: Final answer
    x = 235,440.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.