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Finding the Fourth Proportional to 214,106.40, 320,852.40 and 157,504.80

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Solution

The fourth proportional to 214,106.40, 320,852.40 and 157,504.80 is: 236,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,106.40 : 320,852.40 = 157,504.80 : x
  2. Step 2: Convert to fraction form
    214,106.40/320,852.40 = 157,504.80/x
  3. Step 3: Cross multiply
    214,106.40x = 320,852.40 × 157,504.80
  4. Step 4: Simplify right side
    214,106.40x = 50,535,793,091.52
  5. Step 5: Solve for x
    x = 50,535,793,091.52/214,106.40
  6. Step 6: Final answer
    x = 236,031.21

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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.