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Finding the Fourth Proportional to 265,138.50, 365,830.50 and 150,389.76

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Solution

The fourth proportional to 265,138.50, 365,830.50 and 150,389.76 is: 207,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,138.50 : 365,830.50 = 150,389.76 : x
  2. Step 2: Convert to fraction form
    265,138.50/365,830.50 = 150,389.76/x
  3. Step 3: Cross multiply
    265,138.50x = 365,830.50 × 150,389.76
  4. Step 4: Simplify right side
    265,138.50x = 55,017,161,095.68
  5. Step 5: Solve for x
    x = 55,017,161,095.68/265,138.50
  6. Step 6: Final answer
    x = 207,503.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.