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Finding the Fourth Proportional to 176,086.16, 263,822.52 and 146,692.88

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Solution

The fourth proportional to 176,086.16, 263,822.52 and 146,692.88 is: 219,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,086.16 : 263,822.52 = 146,692.88 : x
  2. Step 2: Convert to fraction form
    176,086.16/263,822.52 = 146,692.88/x
  3. Step 3: Cross multiply
    176,086.16x = 263,822.52 × 146,692.88
  4. Step 4: Simplify right side
    176,086.16x = 38,700,885,267.66
  5. Step 5: Solve for x
    x = 38,700,885,267.66/176,086.16
  6. Step 6: Final answer
    x = 219,783.80

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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.