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Finding the Fourth Proportional to 225,834.17, 311,656.86 and 127,709.55

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Solution

The fourth proportional to 225,834.17, 311,656.86 and 127,709.55 is: 176,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,834.17 : 311,656.86 = 127,709.55 : x
  2. Step 2: Convert to fraction form
    225,834.17/311,656.86 = 127,709.55/x
  3. Step 3: Cross multiply
    225,834.17x = 311,656.86 × 127,709.55
  4. Step 4: Simplify right side
    225,834.17x = 39,801,557,345.01
  5. Step 5: Solve for x
    x = 39,801,557,345.01/225,834.17
  6. Step 6: Final answer
    x = 176,242.41

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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.