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Finding the Fourth Proportional to 194,751.31, 292,126.96 and 47,007.31

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Solution

The fourth proportional to 194,751.31, 292,126.96 and 47,007.31 is: 70,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.31 : 292,126.96 = 47,007.31 : x
  2. Step 2: Convert to fraction form
    194,751.31/292,126.96 = 47,007.31/x
  3. Step 3: Cross multiply
    194,751.31x = 292,126.96 × 47,007.31
  4. Step 4: Simplify right side
    194,751.31x = 13,732,102,568.08
  5. Step 5: Solve for x
    x = 13,732,102,568.08/194,751.31
  6. Step 6: Final answer
    x = 70,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.