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Finding the Fourth Proportional to 320,077.72, 480,116.94 and 83,420.20

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Solution

The fourth proportional to 320,077.72, 480,116.94 and 83,420.20 is: 125,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,077.72 : 480,116.94 = 83,420.20 : x
  2. Step 2: Convert to fraction form
    320,077.72/480,116.94 = 83,420.20/x
  3. Step 3: Cross multiply
    320,077.72x = 480,116.94 × 83,420.20
  4. Step 4: Simplify right side
    320,077.72x = 40,051,451,158.19
  5. Step 5: Solve for x
    x = 40,051,451,158.19/320,077.72
  6. Step 6: Final answer
    x = 125,130.39

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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.