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Finding the Fourth Proportional to 223,954.84, 309,097.98 and 128,493.16

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Solution

The fourth proportional to 223,954.84, 309,097.98 and 128,493.16 is: 177,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,954.84 : 309,097.98 = 128,493.16 : x
  2. Step 2: Convert to fraction form
    223,954.84/309,097.98 = 128,493.16/x
  3. Step 3: Cross multiply
    223,954.84x = 309,097.98 × 128,493.16
  4. Step 4: Simplify right side
    223,954.84x = 39,716,976,199.82
  5. Step 5: Solve for x
    x = 39,716,976,199.82/223,954.84
  6. Step 6: Final answer
    x = 177,343.68

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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.