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Finding the Fourth Proportional to 96,384.60, 144,576.90 and 89,823.60

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Solution

The fourth proportional to 96,384.60, 144,576.90 and 89,823.60 is: 134,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384.60 : 144,576.90 = 89,823.60 : x
  2. Step 2: Convert to fraction form
    96,384.60/144,576.90 = 89,823.60/x
  3. Step 3: Cross multiply
    96,384.60x = 144,576.90 × 89,823.60
  4. Step 4: Simplify right side
    96,384.60x = 12,986,417,634.84
  5. Step 5: Solve for x
    x = 12,986,417,634.84/96,384.60
  6. Step 6: Final answer
    x = 134,735.40

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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.