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Finding the Fourth Proportional to 265,844, 366,864.74 and 146,612

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Solution

The fourth proportional to 265,844, 366,864.74 and 146,612 is: 202,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,844 : 366,864.74 = 146,612 : x
  2. Step 2: Convert to fraction form
    265,844/366,864.74 = 146,612/x
  3. Step 3: Cross multiply
    265,844x = 366,864.74 × 146,612
  4. Step 4: Simplify right side
    265,844x = 53,786,773,260.88
  5. Step 5: Solve for x
    x = 53,786,773,260.88/265,844
  6. Step 6: Final answer
    x = 202,324.57

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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.