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Finding the Fourth Proportional to 117,490.98, 176,411.43 and 47,506.98

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Solution

The fourth proportional to 117,490.98, 176,411.43 and 47,506.98 is: 71,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,490.98 : 176,411.43 = 47,506.98 : x
  2. Step 2: Convert to fraction form
    117,490.98/176,411.43 = 47,506.98/x
  3. Step 3: Cross multiply
    117,490.98x = 176,411.43 × 47,506.98
  4. Step 4: Simplify right side
    117,490.98x = 8,380,774,276.78
  5. Step 5: Solve for x
    x = 8,380,774,276.78/117,490.98
  6. Step 6: Final answer
    x = 71,331.21

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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.