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Finding the Fourth Proportional to 265,458, 366,332.04 and 146,226

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Solution

The fourth proportional to 265,458, 366,332.04 and 146,226 is: 201,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,458 : 366,332.04 = 146,226 : x
  2. Step 2: Convert to fraction form
    265,458/366,332.04 = 146,226/x
  3. Step 3: Cross multiply
    265,458x = 366,332.04 × 146,226
  4. Step 4: Simplify right side
    265,458x = 53,567,268,881.04
  5. Step 5: Solve for x
    x = 53,567,268,881.04/265,458
  6. Step 6: Final answer
    x = 201,791.88

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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.