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Finding the Fourth Proportional to 299,117.23, 448,762.72 and 96,709.02

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Solution

The fourth proportional to 299,117.23, 448,762.72 and 96,709.02 is: 145,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,117.23 : 448,762.72 = 96,709.02 : x
  2. Step 2: Convert to fraction form
    299,117.23/448,762.72 = 96,709.02/x
  3. Step 3: Cross multiply
    299,117.23x = 448,762.72 × 96,709.02
  4. Step 4: Simplify right side
    299,117.23x = 43,399,400,619.92
  5. Step 5: Solve for x
    x = 43,399,400,619.92/299,117.23
  6. Step 6: Final answer
    x = 145,091.61

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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.