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Finding the Fourth Proportional to 224,394.76, 309,664.74 and 123,792.76

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Solution

The fourth proportional to 224,394.76, 309,664.74 and 123,792.76 is: 170,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,394.76 : 309,664.74 = 123,792.76 : x
  2. Step 2: Convert to fraction form
    224,394.76/309,664.74 = 123,792.76/x
  3. Step 3: Cross multiply
    224,394.76x = 309,664.74 × 123,792.76
  4. Step 4: Simplify right side
    224,394.76x = 38,334,252,839.28
  5. Step 5: Solve for x
    x = 38,334,252,839.28/224,394.76
  6. Step 6: Final answer
    x = 170,833.99

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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.