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Finding the Fourth Proportional to 107,208.72, 147,954.06 and 59,464.08

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Solution

The fourth proportional to 107,208.72, 147,954.06 and 59,464.08 is: 82,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,208.72 : 147,954.06 = 59,464.08 : x
  2. Step 2: Convert to fraction form
    107,208.72/147,954.06 = 59,464.08/x
  3. Step 3: Cross multiply
    107,208.72x = 147,954.06 × 59,464.08
  4. Step 4: Simplify right side
    107,208.72x = 8,797,952,060.16
  5. Step 5: Solve for x
    x = 8,797,952,060.16/107,208.72
  6. Step 6: Final answer
    x = 82,063.77

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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.