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Finding the Fourth Proportional to 195,448.57, 269,719.55 and 106,024.57

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Solution

The fourth proportional to 195,448.57, 269,719.55 and 106,024.57 is: 146,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,448.57 : 269,719.55 = 106,024.57 : x
  2. Step 2: Convert to fraction form
    195,448.57/269,719.55 = 106,024.57/x
  3. Step 3: Cross multiply
    195,448.57x = 269,719.55 × 106,024.57
  4. Step 4: Simplify right side
    195,448.57x = 28,596,898,779.22
  5. Step 5: Solve for x
    x = 28,596,898,779.22/195,448.57
  6. Step 6: Final answer
    x = 146,314.19

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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.