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Finding the Fourth Proportional to 266,547.26, 367,834.33 and 145,688.48

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Solution

The fourth proportional to 266,547.26, 367,834.33 and 145,688.48 is: 201,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,547.26 : 367,834.33 = 145,688.48 : x
  2. Step 2: Convert to fraction form
    266,547.26/367,834.33 = 145,688.48/x
  3. Step 3: Cross multiply
    266,547.26x = 367,834.33 × 145,688.48
  4. Step 4: Simplify right side
    266,547.26x = 53,589,224,429.52
  5. Step 5: Solve for x
    x = 53,589,224,429.52/266,547.26
  6. Step 6: Final answer
    x = 201,049.62

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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.