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Finding the Fourth Proportional to 201,473.84, 278,034.42 and 110,839.04

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Solution

The fourth proportional to 201,473.84, 278,034.42 and 110,839.04 is: 152,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,473.84 : 278,034.42 = 110,839.04 : x
  2. Step 2: Convert to fraction form
    201,473.84/278,034.42 = 110,839.04/x
  3. Step 3: Cross multiply
    201,473.84x = 278,034.42 × 110,839.04
  4. Step 4: Simplify right side
    201,473.84x = 30,817,068,199.76
  5. Step 5: Solve for x
    x = 30,817,068,199.76/201,473.84
  6. Step 6: Final answer
    x = 152,958.16

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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.