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Finding the Fourth Proportional to 277,721.66, 416,597.38 and 88,196.85

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Solution

The fourth proportional to 277,721.66, 416,597.38 and 88,196.85 is: 132,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.66 : 416,597.38 = 88,196.85 : x
  2. Step 2: Convert to fraction form
    277,721.66/416,597.38 = 88,196.85/x
  3. Step 3: Cross multiply
    277,721.66x = 416,597.38 × 88,196.85
  4. Step 4: Simplify right side
    277,721.66x = 36,742,576,413.76
  5. Step 5: Solve for x
    x = 36,742,576,413.76/277,721.66
  6. Step 6: Final answer
    x = 132,300.00

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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.