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Finding the Fourth Proportional to 262,109.40, 393,164.10 and 156,874.20

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Solution

The fourth proportional to 262,109.40, 393,164.10 and 156,874.20 is: 235,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,109.40 : 393,164.10 = 156,874.20 : x
  2. Step 2: Convert to fraction form
    262,109.40/393,164.10 = 156,874.20/x
  3. Step 3: Cross multiply
    262,109.40x = 393,164.10 × 156,874.20
  4. Step 4: Simplify right side
    262,109.40x = 61,677,303,656.22
  5. Step 5: Solve for x
    x = 61,677,303,656.22/262,109.40
  6. Step 6: Final answer
    x = 235,311.30

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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.