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Finding the Fourth Proportional to 254,152.40, 380,980.74 and 120,996.91

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Solution

The fourth proportional to 254,152.40, 380,980.74 and 120,996.91 is: 181,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,152.40 : 380,980.74 = 120,996.91 : x
  2. Step 2: Convert to fraction form
    254,152.40/380,980.74 = 120,996.91/x
  3. Step 3: Cross multiply
    254,152.40x = 380,980.74 × 120,996.91
  4. Step 4: Simplify right side
    254,152.40x = 46,097,490,756.16
  5. Step 5: Solve for x
    x = 46,097,490,756.16/254,152.40
  6. Step 6: Final answer
    x = 181,377.36

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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.