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Finding the Fourth Proportional to 269,634, 372,094.56 and 148,775.24

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Solution

The fourth proportional to 269,634, 372,094.56 and 148,775.24 is: 205,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,634 : 372,094.56 = 148,775.24 : x
  2. Step 2: Convert to fraction form
    269,634/372,094.56 = 148,775.24/x
  3. Step 3: Cross multiply
    269,634x = 372,094.56 × 148,775.24
  4. Step 4: Simplify right side
    269,634x = 55,358,457,466.69
  5. Step 5: Solve for x
    x = 55,358,457,466.69/269,634
  6. Step 6: Final answer
    x = 205,309.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.