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Finding the Fourth Proportional to 123,714.87, 185,790.35 and 92,133.51

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Solution

The fourth proportional to 123,714.87, 185,790.35 and 92,133.51 is: 138,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,714.87 : 185,790.35 = 92,133.51 : x
  2. Step 2: Convert to fraction form
    123,714.87/185,790.35 = 92,133.51/x
  3. Step 3: Cross multiply
    123,714.87x = 185,790.35 × 92,133.51
  4. Step 4: Simplify right side
    123,714.87x = 17,117,516,608.96
  5. Step 5: Solve for x
    x = 17,117,516,608.96/123,714.87
  6. Step 6: Final answer
    x = 138,362.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.