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Finding the Fourth Proportional to 152,403.70, 228,735.15 and 68,293.30

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Solution

The fourth proportional to 152,403.70, 228,735.15 and 68,293.30 is: 102,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,403.70 : 228,735.15 = 68,293.30 : x
  2. Step 2: Convert to fraction form
    152,403.70/228,735.15 = 68,293.30/x
  3. Step 3: Cross multiply
    152,403.70x = 228,735.15 × 68,293.30
  4. Step 4: Simplify right side
    152,403.70x = 15,621,078,219.50
  5. Step 5: Solve for x
    x = 15,621,078,219.50/152,403.70
  6. Step 6: Final answer
    x = 102,498.02

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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.