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Finding the Fourth Proportional to 106,246, 146,619.48 and 59,142

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Solution

The fourth proportional to 106,246, 146,619.48 and 59,142 is: 81,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246 : 146,619.48 = 59,142 : x
  2. Step 2: Convert to fraction form
    106,246/146,619.48 = 59,142/x
  3. Step 3: Cross multiply
    106,246x = 146,619.48 × 59,142
  4. Step 4: Simplify right side
    106,246x = 8,671,369,286.16
  5. Step 5: Solve for x
    x = 8,671,369,286.16/106,246
  6. Step 6: Final answer
    x = 81,615.96

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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.