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Finding the Fourth Proportional to 106,849.29, 147,497.40 and 66,582.93

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Solution

The fourth proportional to 106,849.29, 147,497.40 and 66,582.93 is: 91,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,849.29 : 147,497.40 = 66,582.93 : x
  2. Step 2: Convert to fraction form
    106,849.29/147,497.40 = 66,582.93/x
  3. Step 3: Cross multiply
    106,849.29x = 147,497.40 × 66,582.93
  4. Step 4: Simplify right side
    106,849.29x = 9,820,809,059.38
  5. Step 5: Solve for x
    x = 9,820,809,059.38/106,849.29
  6. Step 6: Final answer
    x = 91,912.72

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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.