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Finding the Fourth Proportional to 176,046.40, 264,069.60 and 156,692.80

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Solution

The fourth proportional to 176,046.40, 264,069.60 and 156,692.80 is: 235,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,046.40 : 264,069.60 = 156,692.80 : x
  2. Step 2: Convert to fraction form
    176,046.40/264,069.60 = 156,692.80/x
  3. Step 3: Cross multiply
    176,046.40x = 264,069.60 × 156,692.80
  4. Step 4: Simplify right side
    176,046.40x = 41,377,805,018.88
  5. Step 5: Solve for x
    x = 41,377,805,018.88/176,046.40
  6. Step 6: Final answer
    x = 235,039.20

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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.