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Finding the Fourth Proportional to 106,505.95, 146,970.94 and 58,760.10

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Solution

The fourth proportional to 106,505.95, 146,970.94 and 58,760.10 is: 81,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505.95 : 146,970.94 = 58,760.10 : x
  2. Step 2: Convert to fraction form
    106,505.95/146,970.94 = 58,760.10/x
  3. Step 3: Cross multiply
    106,505.95x = 146,970.94 × 58,760.10
  4. Step 4: Simplify right side
    106,505.95x = 8,636,026,102.84
  5. Step 5: Solve for x
    x = 8,636,026,102.84/106,505.95
  6. Step 6: Final answer
    x = 81,084.92

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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.