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Finding the Fourth Proportional to 227,059.40, 340,589.10 and 157,075.40

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Solution

The fourth proportional to 227,059.40, 340,589.10 and 157,075.40 is: 235,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,059.40 : 340,589.10 = 157,075.40 : x
  2. Step 2: Convert to fraction form
    227,059.40/340,589.10 = 157,075.40/x
  3. Step 3: Cross multiply
    227,059.40x = 340,589.10 × 157,075.40
  4. Step 4: Simplify right side
    227,059.40x = 53,498,169,118.14
  5. Step 5: Solve for x
    x = 53,498,169,118.14/227,059.40
  6. Step 6: Final answer
    x = 235,613.10

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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.