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Finding the Fourth Proportional to 164,200.29, 246,298.98 and 51,880.50

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Solution

The fourth proportional to 164,200.29, 246,298.98 and 51,880.50 is: 77,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200.29 : 246,298.98 = 51,880.50 : x
  2. Step 2: Convert to fraction form
    164,200.29/246,298.98 = 51,880.50/x
  3. Step 3: Cross multiply
    164,200.29x = 246,298.98 × 51,880.50
  4. Step 4: Simplify right side
    164,200.29x = 12,778,114,231.89
  5. Step 5: Solve for x
    x = 12,778,114,231.89/164,200.29
  6. Step 6: Final answer
    x = 77,820.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.