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Finding the Fourth Proportional to 203,200.76, 280,419.29 and 112,558.12

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Solution

The fourth proportional to 203,200.76, 280,419.29 and 112,558.12 is: 155,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.76 : 280,419.29 = 112,558.12 : x
  2. Step 2: Convert to fraction form
    203,200.76/280,419.29 = 112,558.12/x
  3. Step 3: Cross multiply
    203,200.76x = 280,419.29 × 112,558.12
  4. Step 4: Simplify right side
    203,200.76x = 31,563,468,094.13
  5. Step 5: Solve for x
    x = 31,563,468,094.13/203,200.76
  6. Step 6: Final answer
    x = 155,331.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.