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Finding the Fourth Proportional to 107,204.28, 147,949.02 and 59,459.64

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Solution

The fourth proportional to 107,204.28, 147,949.02 and 59,459.64 is: 82,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204.28 : 147,949.02 = 59,459.64 : x
  2. Step 2: Convert to fraction form
    107,204.28/147,949.02 = 59,459.64/x
  3. Step 3: Cross multiply
    107,204.28x = 147,949.02 × 59,459.64
  4. Step 4: Simplify right side
    107,204.28x = 8,796,995,467.55
  5. Step 5: Solve for x
    x = 8,796,995,467.55/107,204.28
  6. Step 6: Final answer
    x = 82,058.25

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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.