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Finding the Fourth Proportional to 105,298.38, 145,409.31 and 67,638.78

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Solution

The fourth proportional to 105,298.38, 145,409.31 and 67,638.78 is: 93,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,298.38 : 145,409.31 = 67,638.78 : x
  2. Step 2: Convert to fraction form
    105,298.38/145,409.31 = 67,638.78/x
  3. Step 3: Cross multiply
    105,298.38x = 145,409.31 × 67,638.78
  4. Step 4: Simplify right side
    105,298.38x = 9,835,308,329.04
  5. Step 5: Solve for x
    x = 9,835,308,329.04/105,298.38
  6. Step 6: Final answer
    x = 93,404.18

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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.