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Finding the Fourth Proportional to 106,098.94, 146,397 and 63,092.80

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Solution

The fourth proportional to 106,098.94, 146,397 and 63,092.80 is: 87,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.94 : 146,397 = 63,092.80 : x
  2. Step 2: Convert to fraction form
    106,098.94/146,397 = 63,092.80/x
  3. Step 3: Cross multiply
    106,098.94x = 146,397 × 63,092.80
  4. Step 4: Simplify right side
    106,098.94x = 9,236,596,641.60
  5. Step 5: Solve for x
    x = 9,236,596,641.60/106,098.94
  6. Step 6: Final answer
    x = 87,056.45

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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.