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Finding the Fourth Proportional to 149,883.50, 224,422.37 and 114,174.71

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Solution

The fourth proportional to 149,883.50, 224,422.37 and 114,174.71 is: 170,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,883.50 : 224,422.37 = 114,174.71 : x
  2. Step 2: Convert to fraction form
    149,883.50/224,422.37 = 114,174.71/x
  3. Step 3: Cross multiply
    149,883.50x = 224,422.37 × 114,174.71
  4. Step 4: Simplify right side
    149,883.50x = 25,623,357,319.28
  5. Step 5: Solve for x
    x = 25,623,357,319.28/149,883.50
  6. Step 6: Final answer
    x = 170,955.16

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1.5x scale

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.