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Finding the Fourth Proportional to 115,200.89, 172,824.86 and 65,303.27

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Solution

The fourth proportional to 115,200.89, 172,824.86 and 65,303.27 is: 97,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200.89 : 172,824.86 = 65,303.27 : x
  2. Step 2: Convert to fraction form
    115,200.89/172,824.86 = 65,303.27/x
  3. Step 3: Cross multiply
    115,200.89x = 172,824.86 × 65,303.27
  4. Step 4: Simplify right side
    115,200.89x = 11,286,028,495.29
  5. Step 5: Solve for x
    x = 11,286,028,495.29/115,200.89
  6. Step 6: Final answer
    x = 97,968.24

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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.