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Finding the Fourth Proportional to 487,986.12, 731,896.16 and 132,917.12

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Solution

The fourth proportional to 487,986.12, 731,896.16 and 132,917.12 is: 199,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,986.12 : 731,896.16 = 132,917.12 : x
  2. Step 2: Convert to fraction form
    487,986.12/731,896.16 = 132,917.12/x
  3. Step 3: Cross multiply
    487,986.12x = 731,896.16 × 132,917.12
  4. Step 4: Simplify right side
    487,986.12x = 97,281,525,402.19
  5. Step 5: Solve for x
    x = 97,281,525,402.19/487,986.12
  6. Step 6: Final answer
    x = 199,353.06

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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.