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Finding the Fourth Proportional to 262,276.40, 393,414.60 and 157,041.20

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Solution

The fourth proportional to 262,276.40, 393,414.60 and 157,041.20 is: 235,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,276.40 : 393,414.60 = 157,041.20 : x
  2. Step 2: Convert to fraction form
    262,276.40/393,414.60 = 157,041.20/x
  3. Step 3: Cross multiply
    262,276.40x = 393,414.60 × 157,041.20
  4. Step 4: Simplify right side
    262,276.40x = 61,782,300,881.52
  5. Step 5: Solve for x
    x = 61,782,300,881.52/262,276.40
  6. Step 6: Final answer
    x = 235,561.80

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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.