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Finding the Fourth Proportional to 264,851.40, 397,131.30 and 106,901.40

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Solution

The fourth proportional to 264,851.40, 397,131.30 and 106,901.40 is: 160,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,851.40 : 397,131.30 = 106,901.40 : x
  2. Step 2: Convert to fraction form
    264,851.40/397,131.30 = 106,901.40/x
  3. Step 3: Cross multiply
    264,851.40x = 397,131.30 × 106,901.40
  4. Step 4: Simplify right side
    264,851.40x = 42,453,891,953.82
  5. Step 5: Solve for x
    x = 42,453,891,953.82/264,851.40
  6. Step 6: Final answer
    x = 160,293.25

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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.