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Finding the Fourth Proportional to 224,440, 309,733.68 and 123,844.48

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Solution

The fourth proportional to 224,440, 309,733.68 and 123,844.48 is: 170,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,440 : 309,733.68 = 123,844.48 : x
  2. Step 2: Convert to fraction form
    224,440/309,733.68 = 123,844.48/x
  3. Step 3: Cross multiply
    224,440x = 309,733.68 × 123,844.48
  4. Step 4: Simplify right side
    224,440x = 38,358,806,538.09
  5. Step 5: Solve for x
    x = 38,358,806,538.09/224,440
  6. Step 6: Final answer
    x = 170,908.96

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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.