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Finding the Fourth Proportional to 106,957.38, 147,602.94 and 58,558.50

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Solution

The fourth proportional to 106,957.38, 147,602.94 and 58,558.50 is: 80,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.38 : 147,602.94 = 58,558.50 : x
  2. Step 2: Convert to fraction form
    106,957.38/147,602.94 = 58,558.50/x
  3. Step 3: Cross multiply
    106,957.38x = 147,602.94 × 58,558.50
  4. Step 4: Simplify right side
    106,957.38x = 8,643,406,761.99
  5. Step 5: Solve for x
    x = 8,643,406,761.99/106,957.38
  6. Step 6: Final answer
    x = 80,811.69

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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.