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Finding the Fourth Proportional to 164,035.80, 245,859.30 and 85,109.40

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Solution

The fourth proportional to 164,035.80, 245,859.30 and 85,109.40 is: 127,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,035.80 : 245,859.30 = 85,109.40 : x
  2. Step 2: Convert to fraction form
    164,035.80/245,859.30 = 85,109.40/x
  3. Step 3: Cross multiply
    164,035.80x = 245,859.30 × 85,109.40
  4. Step 4: Simplify right side
    164,035.80x = 20,924,937,507.42
  5. Step 5: Solve for x
    x = 20,924,937,507.42/164,035.80
  6. Step 6: Final answer
    x = 127,563.24

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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.