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Finding the Fourth Proportional to 202,264.50, 279,125.13 and 112,840.50

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Solution

The fourth proportional to 202,264.50, 279,125.13 and 112,840.50 is: 155,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264.50 : 279,125.13 = 112,840.50 : x
  2. Step 2: Convert to fraction form
    202,264.50/279,125.13 = 112,840.50/x
  3. Step 3: Cross multiply
    202,264.50x = 279,125.13 × 112,840.50
  4. Step 4: Simplify right side
    202,264.50x = 31,496,619,231.77
  5. Step 5: Solve for x
    x = 31,496,619,231.77/202,264.50
  6. Step 6: Final answer
    x = 155,719.96

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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.