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Finding the Fourth Proportional to 105,129.60, 157,809.60 and 65,731.20

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Solution

The fourth proportional to 105,129.60, 157,809.60 and 65,731.20 is: 98,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129.60 : 157,809.60 = 65,731.20 : x
  2. Step 2: Convert to fraction form
    105,129.60/157,809.60 = 65,731.20/x
  3. Step 3: Cross multiply
    105,129.60x = 157,809.60 × 65,731.20
  4. Step 4: Simplify right side
    105,129.60x = 10,373,014,379.52
  5. Step 5: Solve for x
    x = 10,373,014,379.52/105,129.60
  6. Step 6: Final answer
    x = 98,668.83

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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.