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Finding the Fourth Proportional to 149,762.13, 224,476.80 and 114,105.90

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Solution

The fourth proportional to 149,762.13, 224,476.80 and 114,105.90 is: 171,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.13 : 224,476.80 = 114,105.90 : x
  2. Step 2: Convert to fraction form
    149,762.13/224,476.80 = 114,105.90/x
  3. Step 3: Cross multiply
    149,762.13x = 224,476.80 × 114,105.90
  4. Step 4: Simplify right side
    149,762.13x = 25,614,126,188.50
  5. Step 5: Solve for x
    x = 25,614,126,188.50/149,762.13
  6. Step 6: Final answer
    x = 171,032.07

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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.