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Finding the Fourth Proportional to 226,093.25, 312,009.90 and 141,259.52

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Solution

The fourth proportional to 226,093.25, 312,009.90 and 141,259.52 is: 194,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,093.25 : 312,009.90 = 141,259.52 : x
  2. Step 2: Convert to fraction form
    226,093.25/312,009.90 = 141,259.52/x
  3. Step 3: Cross multiply
    226,093.25x = 312,009.90 × 141,259.52
  4. Step 4: Simplify right side
    226,093.25x = 44,074,368,709.25
  5. Step 5: Solve for x
    x = 44,074,368,709.25/226,093.25
  6. Step 6: Final answer
    x = 194,938.90

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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.