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Finding the Fourth Proportional to 361,710.94, 542,513.58 and 105,474.65

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Solution

The fourth proportional to 361,710.94, 542,513.58 and 105,474.65 is: 158,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,710.94 : 542,513.58 = 105,474.65 : x
  2. Step 2: Convert to fraction form
    361,710.94/542,513.58 = 105,474.65/x
  3. Step 3: Cross multiply
    361,710.94x = 542,513.58 × 105,474.65
  4. Step 4: Simplify right side
    361,710.94x = 57,221,430,507.58
  5. Step 5: Solve for x
    x = 57,221,430,507.58/361,710.94
  6. Step 6: Final answer
    x = 158,196.57

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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.