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Finding the Fourth Proportional to 194,750.34, 292,125.50 and 47,006.34

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Solution

The fourth proportional to 194,750.34, 292,125.50 and 47,006.34 is: 70,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,750.34 : 292,125.50 = 47,006.34 : x
  2. Step 2: Convert to fraction form
    194,750.34/292,125.50 = 47,006.34/x
  3. Step 3: Cross multiply
    194,750.34x = 292,125.50 × 47,006.34
  4. Step 4: Simplify right side
    194,750.34x = 13,731,749,685.85
  5. Step 5: Solve for x
    x = 13,731,749,685.85/194,750.34
  6. Step 6: Final answer
    x = 70,509.50

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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.