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Finding the Fourth Proportional to 193,208.80, 289,813.20 and 130,223.20

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Solution

The fourth proportional to 193,208.80, 289,813.20 and 130,223.20 is: 195,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,208.80 : 289,813.20 = 130,223.20 : x
  2. Step 2: Convert to fraction form
    193,208.80/289,813.20 = 130,223.20/x
  3. Step 3: Cross multiply
    193,208.80x = 289,813.20 × 130,223.20
  4. Step 4: Simplify right side
    193,208.80x = 37,740,402,306.24
  5. Step 5: Solve for x
    x = 37,740,402,306.24/193,208.80
  6. Step 6: Final answer
    x = 195,334.80

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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.