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Finding the Fourth Proportional to 156,967.65, 235,451.48 and 109,728.45

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Solution

The fourth proportional to 156,967.65, 235,451.48 and 109,728.45 is: 164,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967.65 : 235,451.48 = 109,728.45 : x
  2. Step 2: Convert to fraction form
    156,967.65/235,451.48 = 109,728.45/x
  3. Step 3: Cross multiply
    156,967.65x = 235,451.48 × 109,728.45
  4. Step 4: Simplify right side
    156,967.65x = 25,835,725,401.96
  5. Step 5: Solve for x
    x = 25,835,725,401.96/156,967.65
  6. Step 6: Final answer
    x = 164,592.68

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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.