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Finding the Fourth Proportional to 226,239.68, 311,991.04 and 152,813.59

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Solution

The fourth proportional to 226,239.68, 311,991.04 and 152,813.59 is: 210,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,239.68 : 311,991.04 = 152,813.59 : x
  2. Step 2: Convert to fraction form
    226,239.68/311,991.04 = 152,813.59/x
  3. Step 3: Cross multiply
    226,239.68x = 311,991.04 × 152,813.59
  4. Step 4: Simplify right side
    226,239.68x = 47,676,470,281.27
  5. Step 5: Solve for x
    x = 47,676,470,281.27/226,239.68
  6. Step 6: Final answer
    x = 210,734.34

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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.