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Finding the Fourth Proportional to 106,585.84, 147,092.20 and 58,840.96

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Solution

The fourth proportional to 106,585.84, 147,092.20 and 58,840.96 is: 81,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.84 : 147,092.20 = 58,840.96 : x
  2. Step 2: Convert to fraction form
    106,585.84/147,092.20 = 58,840.96/x
  3. Step 3: Cross multiply
    106,585.84x = 147,092.20 × 58,840.96
  4. Step 4: Simplify right side
    106,585.84x = 8,655,046,256.51
  5. Step 5: Solve for x
    x = 8,655,046,256.51/106,585.84
  6. Step 6: Final answer
    x = 81,202.59

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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.