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Finding the Fourth Proportional to 164,537.60, 246,806.40 and 75,964.10

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Solution

The fourth proportional to 164,537.60, 246,806.40 and 75,964.10 is: 113,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,537.60 : 246,806.40 = 75,964.10 : x
  2. Step 2: Convert to fraction form
    164,537.60/246,806.40 = 75,964.10/x
  3. Step 3: Cross multiply
    164,537.60x = 246,806.40 × 75,964.10
  4. Step 4: Simplify right side
    164,537.60x = 18,748,426,050.24
  5. Step 5: Solve for x
    x = 18,748,426,050.24/164,537.60
  6. Step 6: Final answer
    x = 113,946.15

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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.