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Finding the Fourth Proportional to 194,901.47, 292,352.20 and 47,157.47

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Solution

The fourth proportional to 194,901.47, 292,352.20 and 47,157.47 is: 70,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,901.47 : 292,352.20 = 47,157.47 : x
  2. Step 2: Convert to fraction form
    194,901.47/292,352.20 = 47,157.47/x
  3. Step 3: Cross multiply
    194,901.47x = 292,352.20 × 47,157.47
  4. Step 4: Simplify right side
    194,901.47x = 13,786,588,639.17
  5. Step 5: Solve for x
    x = 13,786,588,639.17/194,901.47
  6. Step 6: Final answer
    x = 70,736.20

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