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Finding the Fourth Proportional to 409,095.36, 613,678.59 and 124,849.98

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Solution

The fourth proportional to 409,095.36, 613,678.59 and 124,849.98 is: 187,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,095.36 : 613,678.59 = 124,849.98 : x
  2. Step 2: Convert to fraction form
    409,095.36/613,678.59 = 124,849.98/x
  3. Step 3: Cross multiply
    409,095.36x = 613,678.59 × 124,849.98
  4. Step 4: Simplify right side
    409,095.36x = 76,617,759,687.93
  5. Step 5: Solve for x
    x = 76,617,759,687.93/409,095.36
  6. Step 6: Final answer
    x = 187,285.82

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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.