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Finding the Fourth Proportional to 164,507.60, 246,876.60 and 71,080.40

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Solution

The fourth proportional to 164,507.60, 246,876.60 and 71,080.40 is: 106,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,507.60 : 246,876.60 = 71,080.40 : x
  2. Step 2: Convert to fraction form
    164,507.60/246,876.60 = 71,080.40/x
  3. Step 3: Cross multiply
    164,507.60x = 246,876.60 × 71,080.40
  4. Step 4: Simplify right side
    164,507.60x = 17,548,087,478.64
  5. Step 5: Solve for x
    x = 17,548,087,478.64/164,507.60
  6. Step 6: Final answer
    x = 106,670.38

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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.