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Finding the Fourth Proportional to 127,763.84, 176,311.89 and 74,053.86

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Solution

The fourth proportional to 127,763.84, 176,311.89 and 74,053.86 is: 102,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,763.84 : 176,311.89 = 74,053.86 : x
  2. Step 2: Convert to fraction form
    127,763.84/176,311.89 = 74,053.86/x
  3. Step 3: Cross multiply
    127,763.84x = 176,311.89 × 74,053.86
  4. Step 4: Simplify right side
    127,763.84x = 13,056,576,018.40
  5. Step 5: Solve for x
    x = 13,056,576,018.40/127,763.84
  6. Step 6: Final answer
    x = 102,193.05

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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.