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Finding the Fourth Proportional to 231,009.75, 346,652.88 and 99,681.75

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Solution

The fourth proportional to 231,009.75, 346,652.88 and 99,681.75 is: 149,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,009.75 : 346,652.88 = 99,681.75 : x
  2. Step 2: Convert to fraction form
    231,009.75/346,652.88 = 99,681.75/x
  3. Step 3: Cross multiply
    231,009.75x = 346,652.88 × 99,681.75
  4. Step 4: Simplify right side
    231,009.75x = 34,554,965,720.94
  5. Step 5: Solve for x
    x = 34,554,965,720.94/231,009.75
  6. Step 6: Final answer
    x = 149,582.28

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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.