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Finding the Fourth Proportional to 106,709.81, 147,257.54 and 58,962.13

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Solution

The fourth proportional to 106,709.81, 147,257.54 and 58,962.13 is: 81,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709.81 : 147,257.54 = 58,962.13 : x
  2. Step 2: Convert to fraction form
    106,709.81/147,257.54 = 58,962.13/x
  3. Step 3: Cross multiply
    106,709.81x = 147,257.54 × 58,962.13
  4. Step 4: Simplify right side
    106,709.81x = 8,682,618,106.78
  5. Step 5: Solve for x
    x = 8,682,618,106.78/106,709.81
  6. Step 6: Final answer
    x = 81,366.64

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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.