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Finding the Fourth Proportional to 202,926.94, 280,015.18 and 112,270.93

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Solution

The fourth proportional to 202,926.94, 280,015.18 and 112,270.93 is: 154,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,926.94 : 280,015.18 = 112,270.93 : x
  2. Step 2: Convert to fraction form
    202,926.94/280,015.18 = 112,270.93/x
  3. Step 3: Cross multiply
    202,926.94x = 280,015.18 × 112,270.93
  4. Step 4: Simplify right side
    202,926.94x = 31,437,564,672.72
  5. Step 5: Solve for x
    x = 31,437,564,672.72/202,926.94
  6. Step 6: Final answer
    x = 154,920.61

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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.