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Finding the Fourth Proportional to 194,750.81, 292,126.21 and 47,006.81

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Solution

The fourth proportional to 194,750.81, 292,126.21 and 47,006.81 is: 70,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,750.81 : 292,126.21 = 47,006.81 : x
  2. Step 2: Convert to fraction form
    194,750.81/292,126.21 = 47,006.81/x
  3. Step 3: Cross multiply
    194,750.81x = 292,126.21 × 47,006.81
  4. Step 4: Simplify right side
    194,750.81x = 13,731,919,671.34
  5. Step 5: Solve for x
    x = 13,731,919,671.34/194,750.81
  6. Step 6: Final answer
    x = 70,510.21

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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.