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Finding the Fourth Proportional to 194,908.16, 268,973.52 and 105,484.16

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Solution

The fourth proportional to 194,908.16, 268,973.52 and 105,484.16 is: 145,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908.16 : 268,973.52 = 105,484.16 : x
  2. Step 2: Convert to fraction form
    194,908.16/268,973.52 = 105,484.16/x
  3. Step 3: Cross multiply
    194,908.16x = 268,973.52 × 105,484.16
  4. Step 4: Simplify right side
    194,908.16x = 28,372,445,819.44
  5. Step 5: Solve for x
    x = 28,372,445,819.44/194,908.16
  6. Step 6: Final answer
    x = 145,568.28

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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.