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Finding the Fourth Proportional to 266,364.96, 367,594.56 and 153,187.80

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Solution

The fourth proportional to 266,364.96, 367,594.56 and 153,187.80 is: 211,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,364.96 : 367,594.56 = 153,187.80 : x
  2. Step 2: Convert to fraction form
    266,364.96/367,594.56 = 153,187.80/x
  3. Step 3: Cross multiply
    266,364.96x = 367,594.56 × 153,187.80
  4. Step 4: Simplify right side
    266,364.96x = 56,311,001,938.37
  5. Step 5: Solve for x
    x = 56,311,001,938.37/266,364.96
  6. Step 6: Final answer
    x = 211,405.44

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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.