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Finding the Fourth Proportional to 127,886.47, 176,484.50 and 76,900.75

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Solution

The fourth proportional to 127,886.47, 176,484.50 and 76,900.75 is: 106,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,886.47 : 176,484.50 = 76,900.75 : x
  2. Step 2: Convert to fraction form
    127,886.47/176,484.50 = 76,900.75/x
  3. Step 3: Cross multiply
    127,886.47x = 176,484.50 × 76,900.75
  4. Step 4: Simplify right side
    127,886.47x = 13,571,790,413.38
  5. Step 5: Solve for x
    x = 13,571,790,413.38/127,886.47
  6. Step 6: Final answer
    x = 106,123.74

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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.