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Finding the Fourth Proportional to 164,857.80, 247,284.01 and 52,536.52

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Solution

The fourth proportional to 164,857.80, 247,284.01 and 52,536.52 is: 78,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.80 : 247,284.01 = 52,536.52 : x
  2. Step 2: Convert to fraction form
    164,857.80/247,284.01 = 52,536.52/x
  3. Step 3: Cross multiply
    164,857.80x = 247,284.01 × 52,536.52
  4. Step 4: Simplify right side
    164,857.80x = 12,991,441,416.30
  5. Step 5: Solve for x
    x = 12,991,441,416.30/164,857.80
  6. Step 6: Final answer
    x = 78,803.92

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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.