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Finding the Fourth Proportional to 164,903.64, 246,970.44 and 120,420.06

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Solution

The fourth proportional to 164,903.64, 246,970.44 and 120,420.06 is: 180,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,903.64 : 246,970.44 = 120,420.06 : x
  2. Step 2: Convert to fraction form
    164,903.64/246,970.44 = 120,420.06/x
  3. Step 3: Cross multiply
    164,903.64x = 246,970.44 × 120,420.06
  4. Step 4: Simplify right side
    164,903.64x = 29,740,195,203.03
  5. Step 5: Solve for x
    x = 29,740,195,203.03/164,903.64
  6. Step 6: Final answer
    x = 180,348.93

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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.