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Finding the Fourth Proportional to 224,570.40, 309,896.26 and 127,765.14

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Solution

The fourth proportional to 224,570.40, 309,896.26 and 127,765.14 is: 176,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,570.40 : 309,896.26 = 127,765.14 : x
  2. Step 2: Convert to fraction form
    224,570.40/309,896.26 = 127,765.14/x
  3. Step 3: Cross multiply
    224,570.40x = 309,896.26 × 127,765.14
  4. Step 4: Simplify right side
    224,570.40x = 39,593,939,044.38
  5. Step 5: Solve for x
    x = 39,593,939,044.38/224,570.40
  6. Step 6: Final answer
    x = 176,309.70

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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.