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Finding the Fourth Proportional to 225,503.63, 311,001.89 and 160,849.69

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Solution

The fourth proportional to 225,503.63, 311,001.89 and 160,849.69 is: 221,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,503.63 : 311,001.89 = 160,849.69 : x
  2. Step 2: Convert to fraction form
    225,503.63/311,001.89 = 160,849.69/x
  3. Step 3: Cross multiply
    225,503.63x = 311,001.89 × 160,849.69
  4. Step 4: Simplify right side
    225,503.63x = 50,024,557,595.91
  5. Step 5: Solve for x
    x = 50,024,557,595.91/225,503.63
  6. Step 6: Final answer
    x = 221,834.82

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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.