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Finding the Fourth Proportional to 232,875.69, 349,021.28 and 99,599.25

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Solution

The fourth proportional to 232,875.69, 349,021.28 and 99,599.25 is: 149,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,875.69 : 349,021.28 = 99,599.25 : x
  2. Step 2: Convert to fraction form
    232,875.69/349,021.28 = 99,599.25/x
  3. Step 3: Cross multiply
    232,875.69x = 349,021.28 × 99,599.25
  4. Step 4: Simplify right side
    232,875.69x = 34,762,257,224.04
  5. Step 5: Solve for x
    x = 34,762,257,224.04/232,875.69
  6. Step 6: Final answer
    x = 149,273.88

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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.