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Finding the Fourth Proportional to 106,966.38, 147,607.74 and 58,558.94

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Solution

The fourth proportional to 106,966.38, 147,607.74 and 58,558.94 is: 80,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,966.38 : 147,607.74 = 58,558.94 : x
  2. Step 2: Convert to fraction form
    106,966.38/147,607.74 = 58,558.94/x
  3. Step 3: Cross multiply
    106,966.38x = 147,607.74 × 58,558.94
  4. Step 4: Simplify right side
    106,966.38x = 8,643,752,790.20
  5. Step 5: Solve for x
    x = 8,643,752,790.20/106,966.38
  6. Step 6: Final answer
    x = 80,808.13

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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.