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Finding the Fourth Proportional to 253,756.40, 380,780.40 and 96,000.80

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Solution

The fourth proportional to 253,756.40, 380,780.40 and 96,000.80 is: 144,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,756.40 : 380,780.40 = 96,000.80 : x
  2. Step 2: Convert to fraction form
    253,756.40/380,780.40 = 96,000.80/x
  3. Step 3: Cross multiply
    253,756.40x = 380,780.40 × 96,000.80
  4. Step 4: Simplify right side
    253,756.40x = 36,555,223,024.32
  5. Step 5: Solve for x
    x = 36,555,223,024.32/253,756.40
  6. Step 6: Final answer
    x = 144,056.36

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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.