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Finding the Fourth Proportional to 224,391, 309,659.16 and 122,416.46

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Solution

The fourth proportional to 224,391, 309,659.16 and 122,416.46 is: 168,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,391 : 309,659.16 = 122,416.46 : x
  2. Step 2: Convert to fraction form
    224,391/309,659.16 = 122,416.46/x
  3. Step 3: Cross multiply
    224,391x = 309,659.16 × 122,416.46
  4. Step 4: Simplify right side
    224,391x = 37,907,378,173.77
  5. Step 5: Solve for x
    x = 37,907,378,173.77/224,391
  6. Step 6: Final answer
    x = 168,934.49

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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.