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Finding the Fourth Proportional to 164,588.76, 246,926.88 and 52,272

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Solution

The fourth proportional to 164,588.76, 246,926.88 and 52,272 is: 78,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,588.76 : 246,926.88 = 52,272 : x
  2. Step 2: Convert to fraction form
    164,588.76/246,926.88 = 52,272/x
  3. Step 3: Cross multiply
    164,588.76x = 246,926.88 × 52,272
  4. Step 4: Simplify right side
    164,588.76x = 12,907,361,871.36
  5. Step 5: Solve for x
    x = 12,907,361,871.36/164,588.76
  6. Step 6: Final answer
    x = 78,421.89

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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.