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Finding the Fourth Proportional to 190,694, 263,157.72 and 105,824.72

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Solution

The fourth proportional to 190,694, 263,157.72 and 105,824.72 is: 146,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,694 : 263,157.72 = 105,824.72 : x
  2. Step 2: Convert to fraction form
    190,694/263,157.72 = 105,824.72/x
  3. Step 3: Cross multiply
    190,694x = 263,157.72 × 105,824.72
  4. Step 4: Simplify right side
    190,694x = 27,848,592,034.84
  5. Step 5: Solve for x
    x = 27,848,592,034.84/190,694
  6. Step 6: Final answer
    x = 146,038.11

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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.