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Finding the Fourth Proportional to 164,308.91, 246,493.82 and 52,017.40

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Solution

The fourth proportional to 164,308.91, 246,493.82 and 52,017.40 is: 78,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,308.91 : 246,493.82 = 52,017.40 : x
  2. Step 2: Convert to fraction form
    164,308.91/246,493.82 = 52,017.40/x
  3. Step 3: Cross multiply
    164,308.91x = 246,493.82 × 52,017.40
  4. Step 4: Simplify right side
    164,308.91x = 12,821,966,756.15
  5. Step 5: Solve for x
    x = 12,821,966,756.15/164,308.91
  6. Step 6: Final answer
    x = 78,035.74

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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.