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Finding the Fourth Proportional to 92,817.33, 138,990.48 and 77,784.93

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Solution

The fourth proportional to 92,817.33, 138,990.48 and 77,784.93 is: 116,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,817.33 : 138,990.48 = 77,784.93 : x
  2. Step 2: Convert to fraction form
    92,817.33/138,990.48 = 77,784.93/x
  3. Step 3: Cross multiply
    92,817.33x = 138,990.48 × 77,784.93
  4. Step 4: Simplify right side
    92,817.33x = 10,811,364,757.47
  5. Step 5: Solve for x
    x = 10,811,364,757.47/92,817.33
  6. Step 6: Final answer
    x = 116,480.02

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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.