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Finding the Fourth Proportional to 266,379.12, 367,614.40 and 153,202

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Solution

The fourth proportional to 266,379.12, 367,614.40 and 153,202 is: 211,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,379.12 : 367,614.40 = 153,202 : x
  2. Step 2: Convert to fraction form
    266,379.12/367,614.40 = 153,202/x
  3. Step 3: Cross multiply
    266,379.12x = 367,614.40 × 153,202
  4. Step 4: Simplify right side
    266,379.12x = 56,319,261,308.80
  5. Step 5: Solve for x
    x = 56,319,261,308.80/266,379.12
  6. Step 6: Final answer
    x = 211,425.21

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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.