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Finding the Fourth Proportional to 270,491.98, 405,774.90 and 112,683.53

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Solution

The fourth proportional to 270,491.98, 405,774.90 and 112,683.53 is: 169,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,491.98 : 405,774.90 = 112,683.53 : x
  2. Step 2: Convert to fraction form
    270,491.98/405,774.90 = 112,683.53/x
  3. Step 3: Cross multiply
    270,491.98x = 405,774.90 × 112,683.53
  4. Step 4: Simplify right side
    270,491.98x = 45,724,148,117.40
  5. Step 5: Solve for x
    x = 45,724,148,117.40/270,491.98
  6. Step 6: Final answer
    x = 169,040.68

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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.