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Finding the Fourth Proportional to 266,443.68, 399,654.54 and 148,039.50

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Solution

The fourth proportional to 266,443.68, 399,654.54 and 148,039.50 is: 222,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,443.68 : 399,654.54 = 148,039.50 : x
  2. Step 2: Convert to fraction form
    266,443.68/399,654.54 = 148,039.50/x
  3. Step 3: Cross multiply
    266,443.68x = 399,654.54 × 148,039.50
  4. Step 4: Simplify right side
    266,443.68x = 59,164,658,274.33
  5. Step 5: Solve for x
    x = 59,164,658,274.33/266,443.68
  6. Step 6: Final answer
    x = 222,053.15

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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.