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Finding the Fourth Proportional to 266,039.29, 399,199.06 and 153,798.33

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Solution

The fourth proportional to 266,039.29, 399,199.06 and 153,798.33 is: 230,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,039.29 : 399,199.06 = 153,798.33 : x
  2. Step 2: Convert to fraction form
    266,039.29/399,199.06 = 153,798.33/x
  3. Step 3: Cross multiply
    266,039.29x = 399,199.06 × 153,798.33
  4. Step 4: Simplify right side
    266,039.29x = 61,396,148,381.07
  5. Step 5: Solve for x
    x = 61,396,148,381.07/266,039.29
  6. Step 6: Final answer
    x = 230,778.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.