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Finding the Fourth Proportional to 241,574, 361,966.38 and 146,833.16

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Solution

The fourth proportional to 241,574, 361,966.38 and 146,833.16 is: 220,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,574 : 361,966.38 = 146,833.16 : x
  2. Step 2: Convert to fraction form
    241,574/361,966.38 = 146,833.16/x
  3. Step 3: Cross multiply
    241,574x = 361,966.38 × 146,833.16
  4. Step 4: Simplify right side
    241,574x = 53,148,667,389.16
  5. Step 5: Solve for x
    x = 53,148,667,389.16/241,574
  6. Step 6: Final answer
    x = 220,009.88

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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.