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Finding the Fourth Proportional to 164,846.66, 247,256.30 and 52,522.34

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Solution

The fourth proportional to 164,846.66, 247,256.30 and 52,522.34 is: 78,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,846.66 : 247,256.30 = 52,522.34 : x
  2. Step 2: Convert to fraction form
    164,846.66/247,256.30 = 52,522.34/x
  3. Step 3: Cross multiply
    164,846.66x = 247,256.30 × 52,522.34
  4. Step 4: Simplify right side
    164,846.66x = 12,986,478,350.77
  5. Step 5: Solve for x
    x = 12,986,478,350.77/164,846.66
  6. Step 6: Final answer
    x = 78,779.14

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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.