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Finding the Fourth Proportional to 265,633, 366,596.58 and 146,424.04

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Solution

The fourth proportional to 265,633, 366,596.58 and 146,424.04 is: 202,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,633 : 366,596.58 = 146,424.04 : x
  2. Step 2: Convert to fraction form
    265,633/366,596.58 = 146,424.04/x
  3. Step 3: Cross multiply
    265,633x = 366,596.58 × 146,424.04
  4. Step 4: Simplify right side
    265,633x = 53,678,552,293.78
  5. Step 5: Solve for x
    x = 53,678,552,293.78/265,633
  6. Step 6: Final answer
    x = 202,077.88

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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.