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Finding the Fourth Proportional to 172,293.60, 258,051.60 and 102,309.60

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Solution

The fourth proportional to 172,293.60, 258,051.60 and 102,309.60 is: 153,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,293.60 : 258,051.60 = 102,309.60 : x
  2. Step 2: Convert to fraction form
    172,293.60/258,051.60 = 102,309.60/x
  3. Step 3: Cross multiply
    172,293.60x = 258,051.60 × 102,309.60
  4. Step 4: Simplify right side
    172,293.60x = 26,401,155,975.36
  5. Step 5: Solve for x
    x = 26,401,155,975.36/172,293.60
  6. Step 6: Final answer
    x = 153,233.53

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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.