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Finding the Fourth Proportional to 266,147.30, 399,345.63 and 116,368.34

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Solution

The fourth proportional to 266,147.30, 399,345.63 and 116,368.34 is: 174,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,147.30 : 399,345.63 = 116,368.34 : x
  2. Step 2: Convert to fraction form
    266,147.30/399,345.63 = 116,368.34/x
  3. Step 3: Cross multiply
    266,147.30x = 399,345.63 × 116,368.34
  4. Step 4: Simplify right side
    266,147.30x = 46,471,188,049.35
  5. Step 5: Solve for x
    x = 46,471,188,049.35/266,147.30
  6. Step 6: Final answer
    x = 174,607.02

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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.