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Finding the Fourth Proportional to 208,560.30, 312,840.45 and 156,072.30

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Solution

The fourth proportional to 208,560.30, 312,840.45 and 156,072.30 is: 234,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,560.30 : 312,840.45 = 156,072.30 : x
  2. Step 2: Convert to fraction form
    208,560.30/312,840.45 = 156,072.30/x
  3. Step 3: Cross multiply
    208,560.30x = 312,840.45 × 156,072.30
  4. Step 4: Simplify right side
    208,560.30x = 48,825,728,564.54
  5. Step 5: Solve for x
    x = 48,825,728,564.54/208,560.30
  6. Step 6: Final answer
    x = 234,108.45

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1.5x scale

Why These Related Problems?

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