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Finding the Fourth Proportional to 266,364.60, 399,544.16 and 153,973.31

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Solution

The fourth proportional to 266,364.60, 399,544.16 and 153,973.31 is: 230,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,364.60 : 399,544.16 = 153,973.31 : x
  2. Step 2: Convert to fraction form
    266,364.60/399,544.16 = 153,973.31/x
  3. Step 3: Cross multiply
    266,364.60x = 399,544.16 × 153,973.31
  4. Step 4: Simplify right side
    266,364.60x = 61,519,136,806.37
  5. Step 5: Solve for x
    x = 61,519,136,806.37/266,364.60
  6. Step 6: Final answer
    x = 230,958.38

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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.