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Finding the Fourth Proportional to 214,007.40, 320,703.90 and 157,405.80

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Solution

The fourth proportional to 214,007.40, 320,703.90 and 157,405.80 is: 235,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,007.40 : 320,703.90 = 157,405.80 : x
  2. Step 2: Convert to fraction form
    214,007.40/320,703.90 = 157,405.80/x
  3. Step 3: Cross multiply
    214,007.40x = 320,703.90 × 157,405.80
  4. Step 4: Simplify right side
    214,007.40x = 50,480,653,942.62
  5. Step 5: Solve for x
    x = 50,480,653,942.62/214,007.40
  6. Step 6: Final answer
    x = 235,882.75

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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.