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Finding the Fourth Proportional to 98,187.84, 147,309.12 and 35,864.64

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Solution

The fourth proportional to 98,187.84, 147,309.12 and 35,864.64 is: 53,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187.84 : 147,309.12 = 35,864.64 : x
  2. Step 2: Convert to fraction form
    98,187.84/147,309.12 = 35,864.64/x
  3. Step 3: Cross multiply
    98,187.84x = 147,309.12 × 35,864.64
  4. Step 4: Simplify right side
    98,187.84x = 5,283,188,557.52
  5. Step 5: Solve for x
    x = 5,283,188,557.52/98,187.84
  6. Step 6: Final answer
    x = 53,806.95

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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.