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Finding the Fourth Proportional to 127,970.38, 176,602.88 and 71,380.54

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Solution

The fourth proportional to 127,970.38, 176,602.88 and 71,380.54 is: 98,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970.38 : 176,602.88 = 71,380.54 : x
  2. Step 2: Convert to fraction form
    127,970.38/176,602.88 = 71,380.54/x
  3. Step 3: Cross multiply
    127,970.38x = 176,602.88 × 71,380.54
  4. Step 4: Simplify right side
    127,970.38x = 12,606,008,939.96
  5. Step 5: Solve for x
    x = 12,606,008,939.96/127,970.38
  6. Step 6: Final answer
    x = 98,507.24

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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.