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Finding the Fourth Proportional to 210,702.98, 316,046.04 and 116,120.66

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Solution

The fourth proportional to 210,702.98, 316,046.04 and 116,120.66 is: 174,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,702.98 : 316,046.04 = 116,120.66 : x
  2. Step 2: Convert to fraction form
    210,702.98/316,046.04 = 116,120.66/x
  3. Step 3: Cross multiply
    210,702.98x = 316,046.04 × 116,120.66
  4. Step 4: Simplify right side
    210,702.98x = 36,699,474,755.19
  5. Step 5: Solve for x
    x = 36,699,474,755.19/210,702.98
  6. Step 6: Final answer
    x = 174,176.34

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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.