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Finding the Fourth Proportional to 202,747.46, 279,779.47 and 112,096.31

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Solution

The fourth proportional to 202,747.46, 279,779.47 and 112,096.31 is: 154,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,747.46 : 279,779.47 = 112,096.31 : x
  2. Step 2: Convert to fraction form
    202,747.46/279,779.47 = 112,096.31/x
  3. Step 3: Cross multiply
    202,747.46x = 279,779.47 × 112,096.31
  4. Step 4: Simplify right side
    202,747.46x = 31,362,244,521.62
  5. Step 5: Solve for x
    x = 31,362,244,521.62/202,747.46
  6. Step 6: Final answer
    x = 154,686.25

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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.