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Finding the Fourth Proportional to 265,194.41, 397,158.44 and 152,638.04

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Solution

The fourth proportional to 265,194.41, 397,158.44 and 152,638.04 is: 228,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194.41 : 397,158.44 = 152,638.04 : x
  2. Step 2: Convert to fraction form
    265,194.41/397,158.44 = 152,638.04/x
  3. Step 3: Cross multiply
    265,194.41x = 397,158.44 × 152,638.04
  4. Step 4: Simplify right side
    265,194.41x = 60,621,483,102.08
  5. Step 5: Solve for x
    x = 60,621,483,102.08/265,194.41
  6. Step 6: Final answer
    x = 228,592.62

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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.