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Finding the Fourth Proportional to 105,841.92, 146,038.80 and 61,104

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Solution

The fourth proportional to 105,841.92, 146,038.80 and 61,104 is: 84,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841.92 : 146,038.80 = 61,104 : x
  2. Step 2: Convert to fraction form
    105,841.92/146,038.80 = 61,104/x
  3. Step 3: Cross multiply
    105,841.92x = 146,038.80 × 61,104
  4. Step 4: Simplify right side
    105,841.92x = 8,923,554,835.20
  5. Step 5: Solve for x
    x = 8,923,554,835.20/105,841.92
  6. Step 6: Final answer
    x = 84,310.21

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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.