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Finding the Fourth Proportional to 105,925.16, 146,122.64 and 67,644.48

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Solution

The fourth proportional to 105,925.16, 146,122.64 and 67,644.48 is: 93,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,925.16 : 146,122.64 = 67,644.48 : x
  2. Step 2: Convert to fraction form
    105,925.16/146,122.64 = 67,644.48/x
  3. Step 3: Cross multiply
    105,925.16x = 146,122.64 × 67,644.48
  4. Step 4: Simplify right side
    105,925.16x = 9,884,389,999.03
  5. Step 5: Solve for x
    x = 9,884,389,999.03/105,925.16
  6. Step 6: Final answer
    x = 93,314.85

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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.