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Finding the Fourth Proportional to 233,101.80, 349,701.30 and 133,180.20

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Solution

The fourth proportional to 233,101.80, 349,701.30 and 133,180.20 is: 199,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,101.80 : 349,701.30 = 133,180.20 : x
  2. Step 2: Convert to fraction form
    233,101.80/349,701.30 = 133,180.20/x
  3. Step 3: Cross multiply
    233,101.80x = 349,701.30 × 133,180.20
  4. Step 4: Simplify right side
    233,101.80x = 46,573,289,074.26
  5. Step 5: Solve for x
    x = 46,573,289,074.26/233,101.80
  6. Step 6: Final answer
    x = 199,798.07

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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.