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Finding the Fourth Proportional to 225,887.83, 311,734.39 and 135,225.74

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Solution

The fourth proportional to 225,887.83, 311,734.39 and 135,225.74 is: 186,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,887.83 : 311,734.39 = 135,225.74 : x
  2. Step 2: Convert to fraction form
    225,887.83/311,734.39 = 135,225.74/x
  3. Step 3: Cross multiply
    225,887.83x = 311,734.39 × 135,225.74
  4. Step 4: Simplify right side
    225,887.83x = 42,154,513,571.20
  5. Step 5: Solve for x
    x = 42,154,513,571.20/225,887.83
  6. Step 6: Final answer
    x = 186,617.02

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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.