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Finding the Fourth Proportional to 224,420, 309,706.32 and 123,824.48

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Solution

The fourth proportional to 224,420, 309,706.32 and 123,824.48 is: 170,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,420 : 309,706.32 = 123,824.48 : x
  2. Step 2: Convert to fraction form
    224,420/309,706.32 = 123,824.48/x
  3. Step 3: Cross multiply
    224,420x = 309,706.32 × 123,824.48
  4. Step 4: Simplify right side
    224,420x = 38,349,224,026.71
  5. Step 5: Solve for x
    x = 38,349,224,026.71/224,420
  6. Step 6: Final answer
    x = 170,881.49

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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.