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Finding the Fourth Proportional to 202,734.30, 279,762.03 and 112,084.98

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Solution

The fourth proportional to 202,734.30, 279,762.03 and 112,084.98 is: 154,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,734.30 : 279,762.03 = 112,084.98 : x
  2. Step 2: Convert to fraction form
    202,734.30/279,762.03 = 112,084.98/x
  3. Step 3: Cross multiply
    202,734.30x = 279,762.03 × 112,084.98
  4. Step 4: Simplify right side
    202,734.30x = 31,357,121,537.31
  5. Step 5: Solve for x
    x = 31,357,121,537.31/202,734.30
  6. Step 6: Final answer
    x = 154,671.02

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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.