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Finding the Fourth Proportional to 164,655.84, 246,957.90 and 52,321.26

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Solution

The fourth proportional to 164,655.84, 246,957.90 and 52,321.26 is: 78,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,655.84 : 246,957.90 = 52,321.26 : x
  2. Step 2: Convert to fraction form
    164,655.84/246,957.90 = 52,321.26/x
  3. Step 3: Cross multiply
    164,655.84x = 246,957.90 × 52,321.26
  4. Step 4: Simplify right side
    164,655.84x = 12,921,148,494.95
  5. Step 5: Solve for x
    x = 12,921,148,494.95/164,655.84
  6. Step 6: Final answer
    x = 78,473.67

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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.