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Finding the Fourth Proportional to 92,141.94, 138,148.78 and 40,822.74

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Solution

The fourth proportional to 92,141.94, 138,148.78 and 40,822.74 is: 61,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,141.94 : 138,148.78 = 40,822.74 : x
  2. Step 2: Convert to fraction form
    92,141.94/138,148.78 = 40,822.74/x
  3. Step 3: Cross multiply
    92,141.94x = 138,148.78 × 40,822.74
  4. Step 4: Simplify right side
    92,141.94x = 5,639,611,036.51
  5. Step 5: Solve for x
    x = 5,639,611,036.51/92,141.94
  6. Step 6: Final answer
    x = 61,205.69

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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.