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Finding the Fourth Proportional to 106,141.46, 146,475 and 58,394.70

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Solution

The fourth proportional to 106,141.46, 146,475 and 58,394.70 is: 80,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,141.46 : 146,475 = 58,394.70 : x
  2. Step 2: Convert to fraction form
    106,141.46/146,475 = 58,394.70/x
  3. Step 3: Cross multiply
    106,141.46x = 146,475 × 58,394.70
  4. Step 4: Simplify right side
    106,141.46x = 8,553,363,682.50
  5. Step 5: Solve for x
    x = 8,553,363,682.50/106,141.46
  6. Step 6: Final answer
    x = 80,584.57

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1.5x scale

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.