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Finding the Fourth Proportional to 266,438.16, 399,941.69 and 114,710.31

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Solution

The fourth proportional to 266,438.16, 399,941.69 and 114,710.31 is: 172,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438.16 : 399,941.69 = 114,710.31 : x
  2. Step 2: Convert to fraction form
    266,438.16/399,941.69 = 114,710.31/x
  3. Step 3: Cross multiply
    266,438.16x = 399,941.69 × 114,710.31
  4. Step 4: Simplify right side
    266,438.16x = 45,877,434,668.27
  5. Step 5: Solve for x
    x = 45,877,434,668.27/266,438.16
  6. Step 6: Final answer
    x = 172,187.93

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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.