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Finding the Fourth Proportional to 107,202.28, 147,946.26 and 59,457.64

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Solution

The fourth proportional to 107,202.28, 147,946.26 and 59,457.64 is: 82,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202.28 : 147,946.26 = 59,457.64 : x
  2. Step 2: Convert to fraction form
    107,202.28/147,946.26 = 59,457.64/x
  3. Step 3: Cross multiply
    107,202.28x = 147,946.26 × 59,457.64
  4. Step 4: Simplify right side
    107,202.28x = 8,796,535,466.43
  5. Step 5: Solve for x
    x = 8,796,535,466.43/107,202.28
  6. Step 6: Final answer
    x = 82,055.49

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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.