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Finding the Fourth Proportional to 145,814.49, 201,213.75 and 80,400.41

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Solution

The fourth proportional to 145,814.49, 201,213.75 and 80,400.41 is: 110,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.49 : 201,213.75 = 80,400.41 : x
  2. Step 2: Convert to fraction form
    145,814.49/201,213.75 = 80,400.41/x
  3. Step 3: Cross multiply
    145,814.49x = 201,213.75 × 80,400.41
  4. Step 4: Simplify right side
    145,814.49x = 16,177,668,047.62
  5. Step 5: Solve for x
    x = 16,177,668,047.62/145,814.49
  6. Step 6: Final answer
    x = 110,946.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.