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Finding the Fourth Proportional to 202,234.75, 279,083.96 and 112,810.75

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Solution

The fourth proportional to 202,234.75, 279,083.96 and 112,810.75 is: 155,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234.75 : 279,083.96 = 112,810.75 : x
  2. Step 2: Convert to fraction form
    202,234.75/279,083.96 = 112,810.75/x
  3. Step 3: Cross multiply
    202,234.75x = 279,083.96 × 112,810.75
  4. Step 4: Simplify right side
    202,234.75x = 31,483,670,840.57
  5. Step 5: Solve for x
    x = 31,483,670,840.57/202,234.75
  6. Step 6: Final answer
    x = 155,678.84

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1.5x scale

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.