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Finding the Fourth Proportional to 164,157, 246,267.90 and 51,854.55

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Solution

The fourth proportional to 164,157, 246,267.90 and 51,854.55 is: 77,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,157 : 246,267.90 = 51,854.55 : x
  2. Step 2: Convert to fraction form
    164,157/246,267.90 = 51,854.55/x
  3. Step 3: Cross multiply
    164,157x = 246,267.90 × 51,854.55
  4. Step 4: Simplify right side
    164,157x = 12,770,111,133.95
  5. Step 5: Solve for x
    x = 12,770,111,133.95/164,157
  6. Step 6: Final answer
    x = 77,792.06

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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.