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Finding the Fourth Proportional to 132,509.36, 198,827.81 and 65,955.30

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Solution

The fourth proportional to 132,509.36, 198,827.81 and 65,955.30 is: 98,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,509.36 : 198,827.81 = 65,955.30 : x
  2. Step 2: Convert to fraction form
    132,509.36/198,827.81 = 65,955.30/x
  3. Step 3: Cross multiply
    132,509.36x = 198,827.81 × 65,955.30
  4. Step 4: Simplify right side
    132,509.36x = 13,113,747,527.12
  5. Step 5: Solve for x
    x = 13,113,747,527.12/132,509.36
  6. Step 6: Final answer
    x = 98,964.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.