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Finding the Fourth Proportional to 265,194.26, 365,875.70 and 150,459.38

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Solution

The fourth proportional to 265,194.26, 365,875.70 and 150,459.38 is: 207,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194.26 : 365,875.70 = 150,459.38 : x
  2. Step 2: Convert to fraction form
    265,194.26/365,875.70 = 150,459.38/x
  3. Step 3: Cross multiply
    265,194.26x = 365,875.70 × 150,459.38
  4. Step 4: Simplify right side
    265,194.26x = 55,049,430,979.07
  5. Step 5: Solve for x
    x = 55,049,430,979.07/265,194.26
  6. Step 6: Final answer
    x = 207,581.53

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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.