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Finding the Fourth Proportional to 225,586.69, 311,309.63 and 134,946.47

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Solution

The fourth proportional to 225,586.69, 311,309.63 and 134,946.47 is: 186,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,586.69 : 311,309.63 = 134,946.47 : x
  2. Step 2: Convert to fraction form
    225,586.69/311,309.63 = 134,946.47/x
  3. Step 3: Cross multiply
    225,586.69x = 311,309.63 × 134,946.47
  4. Step 4: Simplify right side
    225,586.69x = 42,010,136,255.10
  5. Step 5: Solve for x
    x = 42,010,136,255.10/225,586.69
  6. Step 6: Final answer
    x = 186,226.13

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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.