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Finding the Fourth Proportional to 107,225.91, 147,989.48 and 59,494.64

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Solution

The fourth proportional to 107,225.91, 147,989.48 and 59,494.64 is: 82,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,225.91 : 147,989.48 = 59,494.64 : x
  2. Step 2: Convert to fraction form
    107,225.91/147,989.48 = 59,494.64/x
  3. Step 3: Cross multiply
    107,225.91x = 147,989.48 × 59,494.64
  4. Step 4: Simplify right side
    107,225.91x = 8,804,579,798.97
  5. Step 5: Solve for x
    x = 8,804,579,798.97/107,225.91
  6. Step 6: Final answer
    x = 82,112.43

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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.