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Finding the Fourth Proportional to 262,113.92, 393,094.71 and 102,154.25

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Solution

The fourth proportional to 262,113.92, 393,094.71 and 102,154.25 is: 153,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,113.92 : 393,094.71 = 102,154.25 : x
  2. Step 2: Convert to fraction form
    262,113.92/393,094.71 = 102,154.25/x
  3. Step 3: Cross multiply
    262,113.92x = 393,094.71 × 102,154.25
  4. Step 4: Simplify right side
    262,113.92x = 40,156,293,313.54
  5. Step 5: Solve for x
    x = 40,156,293,313.54/262,113.92
  6. Step 6: Final answer
    x = 153,201.68

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1.5x scale

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.