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Finding the Fourth Proportional to 194,750.31, 292,125.46 and 47,006.31

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Solution

The fourth proportional to 194,750.31, 292,125.46 and 47,006.31 is: 70,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,750.31 : 292,125.46 = 47,006.31 : x
  2. Step 2: Convert to fraction form
    194,750.31/292,125.46 = 47,006.31/x
  3. Step 3: Cross multiply
    194,750.31x = 292,125.46 × 47,006.31
  4. Step 4: Simplify right side
    194,750.31x = 13,731,738,353.51
  5. Step 5: Solve for x
    x = 13,731,738,353.51/194,750.31
  6. Step 6: Final answer
    x = 70,509.46

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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.