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Finding the Fourth Proportional to 164,813, 247,207.08 and 52,488.68

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Solution

The fourth proportional to 164,813, 247,207.08 and 52,488.68 is: 78,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,813 : 247,207.08 = 52,488.68 : x
  2. Step 2: Convert to fraction form
    164,813/247,207.08 = 52,488.68/x
  3. Step 3: Cross multiply
    164,813x = 247,207.08 × 52,488.68
  4. Step 4: Simplify right side
    164,813x = 12,975,573,315.85
  5. Step 5: Solve for x
    x = 12,975,573,315.85/164,813
  6. Step 6: Final answer
    x = 78,729.06

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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.