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Finding the Fourth Proportional to 152,611.70, 228,962.30 and 68,353.07

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Solution

The fourth proportional to 152,611.70, 228,962.30 and 68,353.07 is: 102,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,611.70 : 228,962.30 = 68,353.07 : x
  2. Step 2: Convert to fraction form
    152,611.70/228,962.30 = 68,353.07/x
  3. Step 3: Cross multiply
    152,611.70x = 228,962.30 × 68,353.07
  4. Step 4: Simplify right side
    152,611.70x = 15,650,274,632.68
  5. Step 5: Solve for x
    x = 15,650,274,632.68/152,611.70
  6. Step 6: Final answer
    x = 102,549.64

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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.