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Finding the Fourth Proportional to 127,570.98, 176,072.32 and 84,474.46

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Solution

The fourth proportional to 127,570.98, 176,072.32 and 84,474.46 is: 116,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570.98 : 176,072.32 = 84,474.46 : x
  2. Step 2: Convert to fraction form
    127,570.98/176,072.32 = 84,474.46/x
  3. Step 3: Cross multiply
    127,570.98x = 176,072.32 × 84,474.46
  4. Step 4: Simplify right side
    127,570.98x = 14,873,614,152.95
  5. Step 5: Solve for x
    x = 14,873,614,152.95/127,570.98
  6. Step 6: Final answer
    x = 116,590.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.