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Finding the Fourth Proportional to 224,610.53, 309,958.37 and 127,812.24

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Solution

The fourth proportional to 224,610.53, 309,958.37 and 127,812.24 is: 176,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,610.53 : 309,958.37 = 127,812.24 : x
  2. Step 2: Convert to fraction form
    224,610.53/309,958.37 = 127,812.24/x
  3. Step 3: Cross multiply
    224,610.53x = 309,958.37 × 127,812.24
  4. Step 4: Simplify right side
    224,610.53x = 39,616,472,904.40
  5. Step 5: Solve for x
    x = 39,616,472,904.40/224,610.53
  6. Step 6: Final answer
    x = 176,378.52

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1.5x scale

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.