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Finding the Fourth Proportional to 164,617.34, 246,900.74 and 52,283.02

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Solution

The fourth proportional to 164,617.34, 246,900.74 and 52,283.02 is: 78,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,617.34 : 246,900.74 = 52,283.02 : x
  2. Step 2: Convert to fraction form
    164,617.34/246,900.74 = 52,283.02/x
  3. Step 3: Cross multiply
    164,617.34x = 246,900.74 × 52,283.02
  4. Step 4: Simplify right side
    164,617.34x = 12,908,716,327.43
  5. Step 5: Solve for x
    x = 12,908,716,327.43/164,617.34
  6. Step 6: Final answer
    x = 78,416.50

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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.